Pythagorean Theorem

Question 1

Analyze the diagram below and complete the instructions that follow. If is the longest side length in the triangle, find the value of x that makes the triangle above a right triangle. Write your answer in simplest radical form. A. 5 B. 6 C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 2

Analyze the diagram below and complete the instructions that follow. Find the unknown side length, x. Write your answer in simplest radical form. A. B. 60 C. D. 65 Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 3

Analyze the diagram below and complete the instructions that follow. Analyze the diagram below and complete the instructions that follow. In this rectangular box, EF = 6, FD = 5, and DB = 8. Find AF. A. B. C. 10 D. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 4

Analyze the diagram below and complete the instructions that follow. Find the unknown side length, x. Write your answer in simplest radical form. A. 3 B. C. 6 D. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 5

The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse. 75, 85 A. 40, leg B. 78, leg C. 81, leg D. 113, hypotenuse Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 6

The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting? A. 9 inches B. 12 inches C. 13 inches D. 18 inches Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 7

Analyze the diagram below and complete the instructions that follow. Find the unknown side length, x. Write your answer in simplest radical form. A. 24 B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 8

If a, b and c are all positive integers in a right triangle, they form a Pythagorean triple. Please select the best answer from the choices provided

Revolt · Accepted Answer

T

Question 9

Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure and . A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 10

A Pythagorean triple is said to be "primitive" if the greatest common divisor of a, b, and c is 1. Use trial and error to find a primitive Pythagorean triple other than (3, 4, 5).

Revolt · Accepted Answer

Responses may vary but should include some or all of the following information:Any of the following are primitive Pythagorean triples: (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41), (11, 60, 61), (12, 35, 37), (13, 84, 85), (16, 63, 65), (20, 21, 29), (28, 45, 53), (33, 56, 65), (36, 77, 85), (39, 80, 89), (48, 55, 73), (65, 72, 97) The common Pythagorean triple (6, 8, 10) is not primitive, because there is a common divisor of 2, which reduces it to (3, 4, 5).

Pythagorean Theorem Answers

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