Pythagorean Theorem Word Problems

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.3.MD.C.7B

CCSS.4.MD.A.3

Two sides of a right triangle are 8 and 12. Find the missing side length if 8 and 12 are legs.

• 4.5

• 20

• 8.9

• 14.4

Tags

CCSS.8.G.B.7

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.8.G.B.8

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 6.2

Tags

CCSS.8.G.B.7

A 25 foot ladder is leaning against a wall. The ladder is placed 10 feet away from the house. How far up the wall does the ladder reach?

Which diagram best represents the problem?

• 
• 
• 
• 

Tags

CCSS.8.G.B.8

The bottom of a 13-foot 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? Which equation could be used to solve the problem?

Tags

CCSS.8.G.B.8

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? Which equation could be used to solve the problem?

Tags

CCSS.8.G.B.8

How far from the base of a house do you need to place a 15 foot ladder so that is exactly reaches the top of a 12 foot wall? Which equation could be used to solve the problem?

• 12 + b = 15

Tags

CCSS.8.G.B.8

If the two legs of a right triangle measure 8 inches and 12 inches, what is the length of the hypotenuse? Which equation could be used to solve the problem?

Tags

CCSS.8.G.B.7

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be? Which equation could be used to solve the problem?

Tags

CCSS.8.G.B.8