Pythagorean Theorem Answers

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. 28, 96 A. 37, leg B. 54, leg C. 92, leg D. 100, hypotenuse Please select the best answer from the choices provided

A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the nearest foot. A. 75 feet B. 87 feet C. 112 feet D. 150 feet Please select the best answer from the choices provided

In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does the ball need to travel if it is thrown from home plate directly to second base? A. 90 feet B. 127.3 feet C. 135.7 feet D. 180 feet Please select the best answer from the choices provided

A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high above the ground is the top of the ladder? Round to the nearest tenth of a foot. A. 9.1 feet B. 11.6 feet C. 12.4 feet D. 153.0 feet Please select the best answer from the choices provided

Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct? A. Yes, she is correct. B. No, a must be the shortest side, then b, and c is the longest side. C. No, c must be the shortest side, then b, and a is the longest side. D. No, a and b are interchangable, and c is the longest side. Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Find the unknown side length, x. Write your answer in simplest radical form. A. 15 B. C. D. Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Find the value of x. A. 4 B. 5 C. 6 D. 9 Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. Find the value of x. A. 2 B. 4 C. 6 D. 8 Please select the best answer from the choices provided

Which of the following is not a Pythagorean triple? A. 28, 45, 53 B. 16, 63, 65 C. 13, 84, 85 D. 11, 61, 62 Please select the best answer from the choices provided

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. 22 C. D. Please select the best answer from the choices provided