Pythagorean Theorem – Grade 8

1. Use the Pythagorean Theorem to determine the length of c; a and b are the legs of the right angle triangle (approx. to nearest hundredth).

a = 9 and b = 4

2. Use the Pythagorean Theorem to determine the length of c; a and b are the legs of the right angle triangle (approx. to nearest hundredth).

a = 3 cm and b = 4 cm

3. Use the Pythagorean Theorem to determine the length of a; a and b are the legs of the right angle triangle , c is the hypothenuse.

b = 15 m and c = 17 m

4. Use the Pythagorean Theorem to determine the length of b; a and b are the legs of the right angle triangle, c is the hypothenuse.

a = 20 m and c = 32 m

5. Find the hypotenuse of a triangle that has a 13 cm leg and a height of 7 cm.

6. John is trying to determine the length of the staircase he will need for a deck that is 12 feet high. He wants to start the stairs 21 feet from the deck.

7. The bottom of a ladder must be placed 5 feet from a building. The ladder is 14 feet long. How far above the ground does the ladder touch the wall?

9. Use the Pythagorean Theorem to determine the length of c; a and b are the legs of the right angle triangle (approx. to nearest hundredth).

a = 12 in. and b = 5 in.

9. Find the missing hypotenuse of right angle triangle.

10. Find the missing side of right angle triangle.