Pythagorean Theorem Word Problem Linear Equation

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?

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?

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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?

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?

Solve for the length indicated.

• 1

• 2

• 3

• 4

Solve for the length indicated.

• 9

• 10

• 11

• 12

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 

You need a ladder that will reach the top of a 25 foot house when placed 10 feet away from the house.  How tall does the ladder need to be?

• 25 feet

• 28 feet

• 26 feet

• 27 feet

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Find the missing length.

• 12

• 10

• 16

• 5