Pythagorean Theorem Word Problems

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSG.SRT.C.8

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

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.GPE.B.7

CCSS.HSG.SRT.C.8

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

• 7 inches

• 10 inches

• 19.7 inches

• 13.7 inches

Tags

CCSS.HSG.SRT.C.8

During a football play, Odell Beckham Jr. runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Eli Manning. On the opposing team, a defender who started 20 yards across the field from Beckham saw the play setup and ran a slant towards Beckham. What was the distance the defender had to run to get to the spot where Beckham caught the ball?

• 34.6 yards

• 44.7 yards

• 60 yards

• 40 yards

Tags

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.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The diagonal of a rectangle is 25 inches. The width is 15 inches. What is the area of the rectangle?

• 375 in²

• 70 in²

• 300 in²

• 20 in²

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.SRT.C.8

Jill's front door is 42" wide and 84" tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?

• Yes

• No