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

Tags

CCSS.8.G.B.8

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Tags

CCSS.8.G.B.7

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.7

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

• 5

• 6

• 7

• 8

Tags

CCSS.8.G.B.7

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?

Tags

CCSS.8.G.B.7

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

• Yes

• No

Tags

CCSS.8.G.B.8