8th Grade Pythagorean Theorem: Side Length Challenges

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

• 10 feet

• 14 feet

• 8 feet

• 12 feet

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?

• 30 meters

• 20 meters

• 22 meters

• 26 meters

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

• 13 cm

• 17 cm

• 10 cm

• 15 cm

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

• 90 feet

• 180 feet

• 45√2 feet

• 90√2 feet

A 15-foot tall tree casts a shadow that is 20 feet long. If you stand 10 feet away from the base of the tree, how far are you from the top of the tree?

• 12.50 feet

• 15.00 feet

• 18.03 feet

• 25.00 feet

A right triangle has a hypotenuse of 13 cm and one leg measuring 5 cm. What is the length of the other leg?

• 12 cm

• 6 cm

• 8 cm

• 10 cm

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

• 4 feet

• 6 feet

• 3 feet

• 5 feet

A triangular garden has one side measuring 7 meters and another side measuring 24 meters. If the garden is a right triangle, what is the length of the third side?

• 15 meters

• 25 meters

• 20 meters

• 30 meters

A kite is flying at a height of 30 meters. If the string of the kite is 50 meters long, how far is the kite from the point on the ground directly below it?

• 30 meters

• 40 meters

• 60 meters

• 20 meters

A right triangle has a hypotenuse of 10 inches and one leg measuring 6 inches. What is the length of the other leg?

• 6 inches

• 8 inches

• 10 inches

• 4 inches