Pythagorean Theorems 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 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

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

What are some keywords or phrases in a word problem that tell you to use the pythagorean theorem? Check all that apply.

• Order the real numbers from least to greatest

• A rectangle with a diagonal

• A ladder leaning against a wall

• Find the corresponding angles

• When you are asked to find the distance

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Find the missing length.

• 12

• 10

• 16

• 5

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 indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100