Pythagorean Theorem Word Problems

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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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?

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 

Solve for the value of y

• 13

• 5

• 23

• 10

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Find the value of x.

Mathematical Equivalence

ON

Solve for the length indicated.

• 1

• 2

• 3

• 4

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

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?

• 25 feet

• 26 feet

• 27 feet

• 28 feet