1) a Triangle Has Sides 6, 7 and 10. Is It a Right Triangle?

Name: ______Date: ______Mr. Art Period: ______

Pythagorean Theorem Word Problems

1) A triangle has sides 6, 7 and 10. Is it a right triangle?

2) A triangle has sides with lengths of 10, 24, and 26. Is it a right triangle?

3) A triangle has sides with lengths of 5, 5, and 7. Is it a right triangle?

4) A ramp was constructed to load a truck. If the ramp is 9 feet long and the horizontal distance from the bottom of the ramp to the truck is 7 feet, what is the height from the ground to the top of the ramp? (Round your answer to the nearest tenth of a foot) 5) A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?

90 ft 90 ft

6) A computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch.

7) Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?