Pythagorean Theorem Problems

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

• 24.5 ft

• 25.5 ft

• 26.5 ft

• 23.5 ft

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 

Find the value of x.

Mathematical Equivalence

ON

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

• 64

• 12

• 9

• 100

Solve for the variable x.

• x = 7.2

• x = 9

• x = 12

• x = 9.6

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Solve for the length indicated.

• 1

• 2

• 3

• 4

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72