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Pythagorean Theorem Assessment
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Pythagorean Theorem Assessment
Choose the best answer in Part 1. For written problems, show your work and round to the nearest tenth when needed.
Multiple Choice
Select one answer for each question.
1.Which equation gives the relationship between the legs a and b and hypotenuse c of a right triangle?
- a + b = c
- a² + b² = c²
- a² − b² = c²
- a + b² = c²
2.In a right triangle, which side is the hypotenuse?
- The side opposite the right angle
- The side next to the smallest angle
- The shortest side
- Either leg, depending on the triangle
3.A right triangle has legs measuring 8 inches and 15 inches. What is the hypotenuse length?
- 17 inches
- 23 inches
- 120 inches
- 289 inches
4.A right triangle has a hypotenuse of 10 centimeters and one leg of 6 centimeters. Find the other leg.
- 4 cm
- 8 cm
- 12 cm
- 16 cm
Short Answer
Write a complete response or equation.
5.What condition must a triangle meet before you can use the Pythagorean theorem to relate its side lengths?
6.A right triangle has hypotenuse 25 feet and one leg 7 feet. Write an equation that could be used to find the unknown leg x. Do not solve it.
Problem Solving
Show your calculations. Round to the nearest tenth when needed, and include units.
7.A 13-foot support cable runs from the ground to the top of a vertical pole. The cable meets the ground 5 feet from the pole's base. How tall is the pole?
8.A rectangular patio is 9 feet wide and 12 feet long. What is the length of a straight path from one corner to the opposite corner?
9.A rectangular screen is 16 inches wide and 30 inches tall. Find the length of its diagonal to the nearest tenth of an inch.
10.A right triangle has legs of 9 meters and 12 meters. Determine its hypotenuse and explain how you know which side is the hypotenuse.
3 printable pages
Page 1
Page 2
Page 3
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