Pythagoras Word Problems

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

A garden shaped like a right triangle has two legs that measure 15 meters and 20 meters. 
How long is the third side of the garden?

• 14

• 25

• 24

• 625

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in

• 12.4 in

• 13.6 in 

• 14.3 in

Mr. Schoolcraft tells you that a right triangle has a hypotenuse of 13 and a leg of 5.  He asks you to find the other leg of the triangle.  What is your answer?

• 14

• 13

• 12

• 11

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 length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

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 missing length.

• 12

• 10

• 16

• 5

Solve for the length indicated.

• 9

• 10

• 11

• 12

Find the missing length.

• 15

• 11

• 35

• 8