Pythagorean Theorem Problem Solving

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

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

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?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

Use the Pythagorean Theorem to find the length of the hypotenuse if the legs of the triangle are 6 cm and 8 cm.

• 10 cm

• 14 cm

• 12 cm

• 8 cm

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft

• 11ft

• 6ft

• 14ft

Find the length of a leg in a right triangle if the hypotenuse is 17 cm and the other leg is 8 cm.

• 15 cm

• 9 cm

• 13 cm

• 11 cm

Given a right triangle with legs of lengths 3 and 4, what is the length of the hypotenuse?

• 5

• 6

• 7

• 8

If a right triangle has one leg that is 8 cm long and a hypotenuse that is 17 cm long, what is the length of the other leg?

Evaluate responses using AI:

OFF

A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. Is this triangle a right triangle?

• Yes

• No