Real-Life Pythagorean Challenges: Calculate Side Lengths

A ladder is leaning against a wall. The base of the ladder is 6 feet from the wall, and the ladder reaches a height of 8 feet. How long is the ladder?

• 10 feet

• 5 feet

• 8 feet

• 12 feet

Tags

CCSS.8.G.B.8

A rectangular park has a length of 10 meters and a width of 24 meters. What is the distance between two opposite corners of the park?

• 22 meters

• 30 meters

• 20 meters

• 26 meters

Tags

CCSS.8.G.B.8

A right triangle has one leg measuring 9 cm and the other leg measuring 12 cm. What is the length of the hypotenuse?

• 10 cm

• 15 cm

• 17 cm

• 13 cm

Tags

CCSS.8.G.B.7

A tree casts a shadow that is 15 feet long. If the top of the tree is 20 feet high, how far is the top of the tree from the end of the shadow?

• 20 feet

• 10 feet

• 30 feet

• 25 feet

Tags

CCSS.8.G.B.8

A swimming pool is in the shape of a rectangle. If the length is 30 meters and the width is 40 meters, what is the diagonal distance across the pool?

• 50 meters

• 60 meters

• 45 meters

• 55 meters

Tags

CCSS.8.G.B.8

A kite is flying at a height of 50 meters. If the string is 80 meters long, how far is the kite from the point on the ground directly below it?

• 40 meters

• 20 meters

• 30.98 meters

• 50 meters

Tags

CCSS.8.G.B.8

A right triangle has one leg that is 5 inches longer than the other leg. If the shorter leg is x inches, write an equation to find the length of the hypotenuse in terms of x.

• c = sqrt(x^2 + 25)

• c = sqrt(2x^2 + 15x + 50)

• c = sqrt(2x^2 + 5x + 20)

• c = sqrt(2x^2 + 10x + 25)

Tags

CCSS.8.G.B.7

A baseball diamond is a square with each side measuring 90 feet. What is the distance from home plate to second base?

• 90 feet

• 90√2 feet

• 180 feet

• 45√2 feet

Tags

CCSS.8.G.B.8

A ramp is built to help wheelchair access. If the ramp rises 3 feet over a horizontal distance of 4 feet, what is the length of the ramp?

• 7 feet

• 4 feet

• 5 feet

• 6 feet

Tags

CCSS.8.G.B.8

A construction worker needs to measure the diagonal of a rectangular piece of land that is 50 meters long and 120 meters wide. What is the length of the diagonal?

• 150 meters

• 100 meters

• 120 meters

• 130 meters

Tags

CCSS.8.G.B.8