Applying the Pythagorean theorem

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled? _______ miles

State if the 3 sides form an acute, obtuse, or right triangle.

9, 14, 15

• acute

• right

• obtuse

Firefighters are needing a ladder to reach a burning building. The base of the ladder needs to be 15 feet from the building. The ladder needs to reach 25 ft high. How long will the ladder need to be? 

• 30 ft
• 29.2 ft
• 28 ft
• 40 ft

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house? (Help me Pythagoras!)

• 10 feet

• 7.5 feet

• 8.3 feet

• 3.8 feet

Do the sides make a right triangle?

sides 20 m, 8m, 19 m

• no

• yes

Find y.

• 11√2

• 11

• 22

• (11√2)/2

Which of the following is the Pythagorean theorem?

The main mast of a fishing boat is supported by a sturdy rope that extends from the top of the mast to the deck. If the mast is 20 feet tall and the rope attached to the deck 10 feet away from the base of the mast, how long is the rope? Round your answer to the nearest thousandth.

• 17.323 ft.

• 22.361 ft.

• 25.241 ft.

• 30.327 ft.

Find the length of variable h. #16

• 35.60
• 35.00
• 35.71
• 61.03

Would sides of 6 inches, 8 inches and 9 inches create a right triangle?

• Yes

• No