Test on Pythagorean Theorem Word Problems

”Real-world” word problems often have ladders leaning against trees, houses, or other structures. In these problems, the ladder is this part of a right triangle.

• Vertex

• Leg

• It depends on the situation.

• Hypotenuse.

What is the value of c?

• 7

• 10.9

• 13

• 17

Solve for x. 

• 38.9

• 40.2

• 45.6

• 54

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

• 44.1 km

• 59 km

• 47.8 km

• 33 km

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

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

Solve for the length indicated.

• 1

• 2

• 3

• 4

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Find the missing length.

• 12

• 10

• 16

• 5

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

• 64

• 12

• 9

• 100