Pythagorean Theorem Word Problem Cube

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?

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other? Which equation could be used to solve the problem?

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

• A

• B

• C

• D

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 diagram best represents the problem?

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Larry attached a string from the top of the flagpole to the ground.  The flagpole is 26 feet high and the string is 18 feet away from the flagpole.  How long is the string? 

• 352 feet 

• 31.6 feet 

• 44 feet 

• 6.6 feet 

A company must stretch a cable from the top of a tower that is 25 meters high to a point 50 meters away from the base of the tower. How long is the length of the cable? (Round to the nearest tenth).

Oh No! I can't get to my soccer ball because I can't remember how far away from the house the ladder needs to be!

The wall is 15 feet high. The ladder is 20 feet long.

How far does the ladder need to be from the house? Round to the nearest tenth).

• 13.0 feet

• 25 feet

• 15.2 feet

• 13.2 feet

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

Lightning struck a tree, causing it to break and crash to theground. The tree broke off 12 feet above the ground and thebroken part was 20 feet long. If the broken tree formed a right triangle, how far away is the tip of the fallen tree?