Pythagorean Theorem Word Problems

In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured it to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

• 14.4 feet

• 7.2 feet

• 10 feet

• 20 feet

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

• 105 meters

• 79.4 meters

• 210 meters

• 150 meters

Tags

CCSS.HSG.GPE.B.7

CCSS.HSG.SRT.C.8

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

• 9 feet

• 19.2 feet

• 81 feet

• 369 feet

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSG.SRT.C.8

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

• 44.1 km

• 59 km

• 47.8 km

• 33 km

Tags

CCSS.HSG.GPE.B.7

CCSS.HSG.SRT.C.8

Town A is 90 miles from Town B, and 18 miles from Town C. Town A, B, and C are forming a right triangle at A. A road connects towns B and C directly. Find the length of this road.

• 108 miles

• 91.8 miles

• 88.2 miles

• 72 miles

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Tags

CCSS.HSG.SRT.C.8

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 feet

• 13.9 feet

• 169 feet

• 18 feet

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

• 65 miles
• 89 miles
• 45.4 miles
• We don't have enough information.

Tags

CCSS.HSG.SRT.C.8

Two joggers run 8 miles north and then 5 miles west.  What is the shortest distance back to their starting point to the nearest tenth of a mile?

• 13
• 9.4
• 6.2
• 9

Tags

CCSS.HSG.SRT.C.8

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

• 180 feet

• 90 feet

• 13.4 feet

• 127.3 feet

Tags

CCSS.HSG.SRT.C.8