Pythagorean Theorem Worksheet
Grade 11 Math worksheet focusing on applying the Pythagorean Theorem to solve problems involving right triangles and real-world scenarios.
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Pythagorean Theorem
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Read each question carefully and solve for the unknown side in the right triangles. Show all your work. Round your answers to two decimal places where necessary.
1. Find the length of the hypotenuse (c) for a right triangle with legs a = 7 cm and b = 24 cm.
2. A ladder is leaning against a wall. The base of the ladder is 5 feet from the wall, and the ladder reaches 12 feet up the wall. How long is the ladder?
3. A right triangle has a hypotenuse of 13 inches and one leg measuring 5 inches. Find the length of the other leg.
4. A television screen is 20 inches wide and has a diagonal measurement of 25 inches. What is the height of the television screen?
5. A set of three positive integers a, b, and c, such that a² + b² = c² is known as a .
6. The most common Pythagorean triple is (3, 4, 5). Another example is ( , 12, 13).
7. The Pythagorean Theorem can be used for any type of triangle.
True
False
8. The hypotenuse is always the longest side of a right triangle.
True
False
9. Which of the following sets of side lengths could form a right triangle?
6, 7, 8
8, 15, 17
10, 12, 15
4, 5, 6
10. A rectangular park has a length of 80 meters and a width of 60 meters. If a person walks diagonally across the park instead of along the sides, how much distance do they save?