Pythagorean Theorem Worksheet
Explore the Pythagorean Theorem with this Grade 7 worksheet, featuring calculations of missing side lengths in right-angled triangles and problem-solving.
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Pythagorean Theorem Practice
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Read each question carefully and use the Pythagorean Theorem (a² + b² = c²) to solve for the missing side length in each right-angled triangle. Show all your work.
1. Find the length of the hypotenuse (c) for a right triangle with legs a = 3 cm and b = 4 cm.
2. A right triangle has a hypotenuse c = 13 inches and one leg a = 5 inches. Find the length of the other leg (b).
3. A ladder is leaning against a wall. The base of the ladder is 6 feet from the wall, and the ladder reaches 8 feet up the wall. How long is the ladder?
4. The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the of the squares of the other two sides.
5. If a triangle has side lengths a, b, and c, and a² + b² = c² is true, then the triangle is a triangle.
6. The hypotenuse is always the longest side of a right-angled triangle.
True
False
7. The Pythagorean Theorem can be used for any type of triangle.
True
False
8. A television screen is 20 inches wide and 15 inches high. What is the length of the diagonal of the screen?