# which of the following is a right triangle

36 + 81 = 144. AABC for A (3, 1), B (2, 3) and C (5,6) 0 ASTUfor S (4, 6), T (-3,7) and U-5,-4) (six marks) 10. a) Compare the vectors - [7,-3] 7- (3,7] b) Make a hypothesis from your observation. - 15674329 cassidyapril23 cassidyapril23 03.06.2021 Math Senior High School . Calculate the right triangle's side lengths, whose one angle is 45, and the hypotenuse is 32 inches. Types of Triangles. Sides of triangles are given below. The length of the hypotenuse of a right triangle with legs of lengths 9 and 12 is 15. GCF (a, b, c) = 1. 3. Which of the following is a correct statement? Q: Write the trigonometric ratio indicated. c)it is not possible because if a triangle has a right angle that means all the angles are right angles. If the given side lengths form a Triangle, but not a Right . (a) Each angle of an equilateral triangle is 90. In a 30 o-60 o-90 o, the hypotenuse is twice the shorter leg. (i) 7 c m, 2 4 c m, 2 5 c m (ii) 3 c m, 8 c m, 6 c m (iii) 5 0 c m, 8 0 c m, 1 0 0 c m (iv) 1 3 c m, 1 2 c m, 5 c m 13 mins. In case of a right triangle, write the length of its hypotenuse. In option D Pythagoras theorem is not satisfied , So the sides can not be sides of right angled triangle 9 2 = 5 2 + 7 2 8 1 = 2 5 + 4 9 8 1 = 7 4 So option D is correct. Here, A and C measure 45 . Find the geometric mean of 5 and 125. A right-angled triangle (also called a right triangle) is a triangle with a right angle (90) in it. Since we know 2 sides of this triangle, we will use the Pythagorean theorem to solve for x. The great Greek philosopher, Pythagoras, derived an important formula for a right triangle. A 3-4-5 right triangle is a triangle whose side lengths are in the ratio of 3:4:5. Answer:- False . Also, if angle A is 26.5, angle B is 3 times angle A, would angle C be 74, and would the triangle be a scalene? Angle Sum Property of a triangle. 6. 24,33,42 are not the sides of a right-angled triangle. The radian measure of an angle that is 105 32' 45'' is _____. Therefore, you can solve the right triangle if you are given the measures of two of the three sides or if you are given the measure of one side and one of the other two angles. AABC for A (3, 1), B (2, 3) and C (5,6) 0 ASTUfor S (4, 6), T (-3,7) and U-5,-4) (six marks) 10. a) Compare the vectors - [7,-3] 7- (3,7] b) Make a hypothesis from your observation. Solution Verified by Toppr Correct option is E) If a triangle is a right triangle, then the lengths of its sides satisfy the Pythagorean Theorem, a 2+b 2=c 2. Triangle II is very close to the (8, 15, 17) right triangle . The length of the other leg is a0. The goal of solving a right triangle is to determine the area of . The length of the other leg is a0. Which of the following triangles are right triangles? This is an isosceles right triangle, with the sides AB and AC equal and B measuring 90. Short Leg is opposite the 30 angle. A right triangle is a type of triangle that has one angle that measures 90. 5, 12, 13 C. 8, 15, 17 D. 12, 15, 18 E. 9, 12, 15 . Which of the following triangles are always similar? Weegy: 7, 24, 25 will form a right triangle according to the Pythagorean Theorem. Let a, b and c be the sides of a triangle and c be the longest side. (d) A right angled triangle has two acute angles and a right angle. (a) The sum of any two sides of a triangle is greater than the third side (b) A triangle can have all its angles acute (c) A right-angled triangle cannot be equilateral (d) Difference of any two sides of a triangle is greater than the third side - Get the answer to this question and access a vast question bank that is tailored for students. GCF (a, b, c) = 1. Round to nearest hundredth. It is also known as a 45-90-45 triangle. The goal of solving a right triangle is to determine the measure of all angles and the length of all sides b. B-An equilateral triangle is an isosceles triangle. (b) A triangle with a right angle is called a right angled triangle. Q: Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle. triangles; class-7; Share It On (c) A triangle with two equal sides is called a scalene triangle. Example 1 : 20, 21, 29. Summary: (i) 2.5 cm, 6.5 cm, 6 cm follows the Pythagoras theorem, so will form a right-angled triangle (ii) 2 cm, 2 cm, 5 cm do not follow the Pythagoras theorem, so will not form a right-angled triangle (iii) 1.5 cm, 2cm, 2.5 cm follows the Pythagoras theorem, so will form a right-angled triangle More From Chapter. This makes the sum of the squares of the legs greater than the longest side squared, so Triangle I is acute. Condition for the right angled triangle is AB 2 + BC 2 = AC 2. a Direction : Determine the measures of the missing parts of the following triangles using the Law of Sines .

Step 2. Learn with Videos. If the given side lengths form a Triangle, but not a Right . Transcribed Image Text: Identify which of the following lengths can form a right triangle. (Only right triangles have a hypotenuse). Let a, b and c be the sides of a triangle and c be the longest side. And if the given side lengths form a Right Triangle and they are all positive integers, the application will note that the given side lengths are a Pythagorean Triple with a further designation as primitive if the Greatest Common Factor of the side lengths equals 1. (9^2+12^2=15^2) If the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of the other triangle, then the triangles are not congruent. AABCfor A (3,1), B (2,3) and C (5,6) ASTU for S (4,6), 7 (-3,7) and U-5,-4) Find a vector that is perpendicular to u - [9, 2]. All that you need are the lengths of the base and the height. Which of the following statements is true? Select all that form a right triangle. See Pythagoras' Theorem for more details. Broadly, right triangles can be categorized as: 1.

Reiny Nov 30, 2012 User: One leg of a right triangle is 12, and the hypotenuse is 20. D-A right triangle is an acute triangle. * 1 point A. Isosceles Triangle B. Scalene Triangle C. Equilateral Triangle D. Right Triangle 3) What do you call a triangle with 3 equal sides? Correct Answer - C In all the three given cases, `DeltaABC` is constructed, but `AB=8 cm , BC=17 cm and AC=15 cm ` form a right triangle, since `8^(2)+15^(2)=17^(2)`. Added 11/13/2014 10:49:41 PM To construct an equilateral triangle with a given side, which of the following is used! View chapter > Revise with Concepts.

Substitute the two known sides into the Pythagorean theorem's formula : a 2 + b 2 = c 2 8 2 + 6 2 = x 2 100 = x 2 x = 100 x = 10. Long leg is opposite the 60 angle. The Triangle and Its Properties. Draw altitudes and count. Weegy: The answer is 15. The length of the other leg is a0. Rest of Steps. Q: For the right triangle below, find the measure of the angle. Hence, the base and height of the right triangle are 6 mm each. 3 , 6 , 4 3 , 4 , 5 5/2m, 5/2, 10 7, 7/3, 14 5 , 6 , 8 6 , 8 , 10 Example 1: Solve the right triangle shown in Figure (b) if B = 22 SOLUTION: Which of the following could not be the lengths of the sides of a right triangle? Segment AX = Segment BX. 3 . a) 2cm, 2cm, 5cm c) 10cm, 6cm, 9cm b) 17cm, 15cm, 8cm d) 12cm, 13cm, 15cm 1 See answer Advertisement . a. Classification of Triangles. Broadly, right triangles can be categorized as: 1. Hypotenuse is always opposite the right angle. (a) A triangle can have two right - 25567951 josevettathu68 josevettathu68 13.10.2020 Math Primary School answered . Example 1 : 20, 21, 29. . Solution. Example: The Pythagorean Triple of 3, 4 and 5 makes a Right Angled Triangle: Here are two more Pythagorean Triples: 5, 12, 13 : 9, 40, 41 : 5 2 + 12 2 = 13 2 : 9 2 + 40 2 = 41 2: BC = 8. A right triangle is isosceles. This video uses the Pythagorean Theorem to determine if a triangle is a right triangle given the length of the three sides.Complete Video Lists at www.mathis. Right Triangle Proportionality Theorem c. SSS Similarity Theorem b. SAS Similarity Theorem d. AA Similarity Theorem. Keywords: problem; triangle; right triangle; angle; right angle; sine; hypotenuse; opposite; opposite side; Draw medians and count. If a, b and c are the sides of a right triangle, then by Pythagorean theorem, c2 = a2 + b2. If c2 a2 + b2, then the triangle is not a right triangle. This ratio can be given as: Side 1: Side 2: Hypotenuse = 3n: 4n: 5n = 3: 4: 5. A triangle with side lengths 5, 12, 13 A triangle with side lengths 6 inches, 8 inches, 10 inches A triangle with side lengths 8, 15, 17 A triangle with side lengths 4, 5, 6 7. Determine which of them are right triangles. (a) The sum of any two sides of a triangle is greater than the third side (b) A triangle can have all its angles acute (c) A right-angled triangle cannot be equilateral (d) Difference of any two sides of a triangle is greater than the third side. 3 2+13 2=14 2 9+169=196 Question 20 Based on the sides of a triangle, which of the following is a classification of triangles? Therefore, we use the n: n: n2 ratios. Which of the following similarity statements about the triangles in the figure is true? A right triangle is equilateral. C-An isosceles triangle is an obtuse triangle. x= 12 x= 6 x= 4*** x= 3 #2 which of the following statements are always true?

(a) Two triangles having same shape are congruent,(b) If two yaamini46 yaamini46 15.09.2019 Math Secondary School . Acute triangle C. Right triangle D. Obtuse triangle 2) What do you call a triangle with no equal side?

Question: Which of the following is a right-angled triangle? If the difference of the other two angles is 30, find the larger of the other two angles. Find the area and the perimeter of of the given irregular . Match the reasons with the statements in the proof to prove that triangle AXC is congruent to triangle BXC, given that angles 3 and 4 are right angles and Segment AX = Segment BX. tan W. Q: 3) Write the trigonometric ratios for the following angles. Q: 6. Weegy: 7, 24, 25 will form a right triangle according to the Pythagorean Theorem. Find the geometric mean of 3 and 48. 2/10. AC = 6. +6 and RT = 5(2x-6). where c is the hypotenuse and a and b are the other two sides. Question 11. 36^2 +77^2 = 7225" " and 85^2 = 7225 This is a right-angled triangle. A. If c2 a2 + b2, then the triangle is not a right triangle. (6) 2 + (9) 2 = (12) 2. Since multiplying these to values together would give the area of the corresponding rectangle, and the triangle is half of that, the formula is: area = (1/2)base * height. Which of the following statements is not correct? To determine which choice is correct, test each set of values by substituting them into the Pythagorean Theorem. (c) The sum of any two sides is equal to the third side.

The hypotenuse is the largest side in a right triangle and is always opposite the right angle. User: Which of the following statements is never true? C-An isosceles triangle is an obtuse triangle. (a) Two triangles having same shape are congruent, (b) If two sides of a triangle are equal to the corresponding sides of another triangle, then the two triangles are congruent. To find the Pythagorean triples , the following formula is used. Definition of an obtuse angled triangle. Remote interior angles are the two that not. math The formula states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs. 400 + 225 = 625 ? 1. Triangle I is very close to the (6, 8, 10) right triangle, but we made one of the legs longer. cosec = Hypotenuse/Perpendicular. Find the value of x 12. In a right triangle, the side that is opposite of the 90 angle is the longest side of the triangle, and is called the hypotenuse. Answered: Triangle LMN, shown below, is a right | bartleby. In each case, determine if the side lengths lengths form a right triangle. A trigonometric ratio is a ratio between two sides of a right triangle. Hypotenuse = leg2. Weegy: 7, 24, 25 will form a right triangle according to the Pythagorean Theorem. In the triangle to right, Z-4 is an exterior angle . As the Right triangle congruence theorems says two right triangle is congruent, when hypotenuse side and any other leg ( Hypotenuse -leg ( HL )) is equal to the other right angle triangle respectively. The other two sides of the triangle, AC and CB are referred to as the 'legs'. Example Definitions Formulaes. So, we will consider trigonometric ratios of cosec angle and cot angle i.e. Which of the following is a correct statement? Given that one angle of the right triangle is 45 degrees, this must be a 45-45-90 right triangle. H2 = B2 + P2 Here H is the hypotenuse and B is the A. RZ = RZ, Reflexive Property. 2. If the circumcenter of a triangle lies on the triangle, then the . Suppose the altitude to the hypotenuse of a right triangle bisects the hypotenuse. Isosceles right triangle: In this triangle, one interior angle measures 90, and the other two angles measure 45 each. In other words, a 3-4-5 triangle has the ratio of the sides in whole numbers called Pythagorean Triples. 1) Remembering the common Pythagorean Triplets is very helpful in this problem. In the following figure, one angle of triangle ABC is 40. c) Verify your hypothesis using algebra, construction, or . Definition of a right triangle. 2 cm , 2 cm , 5 cmIn the case of right angled triangles, identify the right angles. 1. When a triangle's sides are a Pythagorean Triple it is a right angled triangle. We know that A ( a, b) and B ( c, d) do not form the hypotenuse as C already has the x-coordinate h. Assuming A C to be the hypotenuse, products of slopes of A B and B C should be 1 for our assumption to be true. Cosine is usually shortened to cos but is pronounced cosine. Always True b.

B a s e 2 + P r e p e n d i c u l a r 2 = H y p o t e n u s e 2 Now, we go to the options,

In a right triangle, the base and the height are the two sides which form the right angle. 20^2 +99^2 = 10,201" "and 101^2 =10,201 This is a right-angled triangle. A. D. An acute triangle is isosceles. Exterior Angles of a Triangle Worksheet 4 - This 12 problem angle worksheet represents the missing angles with algebraic expressions like 3x and 7x - 4. . True. Identify the right angle in that triangle. 1 . . In each case, determine if the side lengths lengths form a right triangle. . 11. Advertisement Advertisement A. Option 1 : cot angle B equals 6 over 5 3, 4, 5 B. 89 is not equal to 100 (3) 5, 5 . The Cosine Function in Right Triangles. 117 is not equal to 144 (2) 5, 8, 10. These values result in a right-angled triangle with sides a, b, c. Solution : we will use trigonometric ratios . Check all that apply. (b) The sum of three angles of a triangle is less than 180. * 25 tan (A) = %3D 7 24 O 7/25 O 7/24 O. This is an isosceles right triangle, with the sides AB and AC equal and B measuring 90. A right triangle with two sides of equal lengths is a 45- 45- 90 triangle. For a right angled triangle consider the three sides AB, BC and AC. 13 M 12 N Which of the following is equivalent to sin L? User: One leg of a right triangle is 12, and the hypotenuse is 20. Right-Angled Triangles. Right triangles have sides that are Pythagorean triplets. Verify that the vectors are perpendicular. A-A right triangle is a scalene triangle. * 1 point A. Isosceles triangle B. (9^2+12^2=15^2) (a) A triangle can have two right angles (b) A triangle can have two obtuse angles (c) A triangle can have two acute angles (d) A triangle can have all the three angles less than 60 Advertisement Answer 5.0 /5 17 yadavsv09 Answer: A triangle can have two acute angles hope you like

10. (a) A triangle with three equal sides is called an equilateral triangle. Which of the following statements is true? find the number from athe following expanded form :910+210+310. cot = Base/Perpendicular.

Weegy: An equilateral triangle is an isosceles triangle. User: One leg of a right triangle is 12, and the hypotenuse is 20. Given: 3 and 4 are right angles. 14. x + x + x . O cos L O tan L O sin N O cos N. 12. Given:In Right triangle ABC AB = 5. The right angled triangle is one of the most useful shapes in all of mathematics! a = m 2 -n 2. b = 2mn. NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.5 Question 4. Right triangles, and the relationships between their sides and angles, are the basis of trigonometry. B. Which of the following is a right-angled triangle? It was named after him as Pythagoras theorem.The right triangle formula can be represented in the following way: The square of the hypotenuse is equal to the sum of the . The sides of a triangle are 7, 10, and 12. Identify the false statement. If the triangle is a right triangle, then one of the angles is 90. The sum of the squares on two sides of a triangle is equal to the square on the third side, then the triangle is a right angle. Question 11. The two types are, (30 - 60 - 90) which indicates the three angles in the right-angled triangle, the next is (45 - 45 - 90) which is an isosceles right-angled triangle since two of its angles are congruent which indicates that two opposite sides of those equal angles will also be congruent. Test each set of lengths using Pythagoras' Theorem. Draw in the side relationships on the following triangles are 306 6v 450 reference . C. A tangent and a radius in a cylinder form two legs of a right triangle with the cylinder's altitude serving as the hypotenuse.

It is also known as a 45-90-45 triangle. It is known as right triangle congruence theorems. Question 4 ii Which of the following can be the sides of a right triangle? Which of the following can be the sides of a right triangle? (9^2+12^2=15^2) Isosceles right triangle: In this triangle, one interior angle measures 90, and the other two angles measure 45 each. Weegy: The answer is 15. According to the given option (1) 6, 9, 12. 25.

Since we know that options are given for cot angle and cosec angle. we can immediately rule out the last 2 groups since they don't even form any kind of triangle So to be right-angled a^2 + b^2 = c^2 , where c is the longest side, the hyppotenuse is 20^2 + 15^2 = 25^2 ? Cosine is a trigonometric ratio comparing two sides of a right triangle.

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# which of the following is a right triangle

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