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?

• 12 feet

• 14 feet

• 10 feet

• 8 feet

A rectangular garden has a length of 10 meters and a width of 24 meters. What is the length of the diagonal that stretches from one corner of the garden to the opposite corner?

• 20 meters

• 26 meters

• 30 meters

• 22 meters

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

• 17 cm

• 15 cm

• 10 cm

• 13 cm

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

• 100 feet

• 120 feet

• 60 feet

• 90√2 feet (approximately 127.28 feet)

A 15-foot tall tree casts a shadow that is 20 feet long. If you were to walk directly from the top of the shadow to the top of the tree, how far would you walk?

• 25 feet

• 30 feet

• 20 feet

• 15 feet

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

• 6 cm

• 8 cm

• 10 cm

• 12 cm

A ramp is built to help wheelchair access to a building. If the ramp is 10 feet long and rises to a height of 4 feet, how far is the base of the ramp from the building?

• approximately 6.5 feet

• approximately 12 feet

• approximately 7.5 feet

• approximately 9.17 feet

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?

• 20 meters

• 60 meters

• 40 meters

• 30 meters

A swimming pool is rectangular, measuring 30 meters by 40 meters. What is the length of the diagonal across the pool?

• 55 meters

• 60 meters

• 50 meters

• 45 meters

A right triangle has a hypotenuse of 25 inches and one leg measuring 20 inches. What is the length of the other leg?

• 15 inches

• 30 inches

• 10 inches

• 20 inches