Pythagorean Theorem Word Problems Practice

A pool table is 9 feet long and 5 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket? Round to the nearest tenth if necessary.

• 10.2 ft

• 10.3 ft

• 106 ft

• 14 ft

Tags

CCSS.HSG.SRT.C.8

The course for a local mud race has the shape of a right triangle. The legs consist of a 2 mile obstacle course on foot and a 4 mile swim course. What is the distance of the cycling course? Round to the nearest tenth if necessary.

• 4.4 miles

• 4.5 miles

• 10 miles

• 6 miles

Tags

CCSS.HSG.SRT.C.8

Jarvis drives due North for 32 miles then drives East 17 miles. How far is Jarvis from his starting point? Round to the nearest tenth if necessary.

• 36.2 miles

• 36.3 miles

• 49 miles

• 15 miles

Tags

CCSS.HSG.GPE.B.7

CCSS.HSG.SRT.C.8

Kara's television is 35 inches wide and 28 inches high. How is Kara's tv advertised (diagonal length)? Round to the nearest whole number.

• 44 inches

• 45 inches

• 63 inches

• 7 inches

Tags

CCSS.HSG.SRT.C.8

Shaylyn has a piece of paper measuring 9.5 inches by 9.5 inches. If she folds the paper diagonally in half, how long is the folded side? Round to the nearest tenth if necessary.

• 13.4 inches

• 10 inches

• 18 inches

• 11 inches

Tags

CCSS.HSG.SRT.C.8

Carter wants to build a ramp that has a vertical height of 5.25 ft tall and a horizontal length of 25.75 ft. How long is the diagonal part of the ramp? Round to the nearest tenth if necessary.

• 26.3 ft

• 27 ft

• 31 ft

• 20.5 ft

Tags

CCSS.HSG.SRT.C.8

Best buy is advertising a desktop monitor as 20 inches (diagonal length of the screen). If the screen is 12 inches high, what is the width of the screen? Round to the nearest tenth if necessary.

• 16 inches

• 8 inches

• 14 inches

• 18 inches

Tags

CCSS.HSG.SRT.C.8

A wire 12 meters long is supporting a utility pole. The wire is anchored to the ground and is attached to the top of the pole 10 meters above the ground. What is the distance from the bottom of the pole to the point where the wire is attached to the ground? Round to the nearest tenth if necessary. Hint: The wire is diagonal from the ground to the top of the pole.

• 6.6 feet

• 7 feet

• 22 feet

• 15,6 feet

Tags

CCSS.HSG.SRT.C.8

A 20 foot ladder is leaning against a wall. The bottom of the ladder is 15 feet from the base of the wall. How far up the wall is the top of the ladder? Round to the nearest tenth if necessary.

• 13.2 feet

• 5 feet

• 25 feet

• 15 feet

Tags

CCSS.HSG.SRT.C.8

Caroline measured the distance between three cities on a map that happened to form a right triangle. From Shoreview she traveled north 45 miles to Bloomington then she traveled diagonally 75 miles to Richfield. How far is Richfield to Shoreview? Round to the nearest tenth if necessary.

• 60 miles

• 30 miles

• 120 miles

• 87.5 miles

Tags

CCSS.HSG.SRT.C.8