Pythagorean Theorem: Right Triangle Challenges for 8th Graders

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

• 8 feet

• 12 feet

• 10 feet

• 14 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?

• 22 meters

• 26 meters

• 30 meters

• 20 meters

A right triangle has one leg measuring 9 cm and the hypotenuse measuring 15 cm. What is the length of the other leg?

• 12 cm

• 10 cm

• 8 cm

• 14 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

• 90√2 feet

• 180 feet

• 45√2 feet

A right triangle has legs measuring 5 inches and 12 inches. What is the length of the hypotenuse?

• 15 inches

• 14 inches

• 13 inches

• 10 inches

A 12-foot tall tree casts a shadow that is 9 feet long. If you were to measure the distance from the top of the tree to the end of the shadow, what would that distance be?

• 9 feet

• 15 feet

• 18 feet

• 12 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

• 10 cm

• 8 cm

• 6 cm

A ramp is built to help wheelchair access. If the ramp is 4 feet high and 3 feet long at the base, what is the length of the ramp?

• 5 feet

• 3 feet

• 6 feet

• 4 feet

A right triangle has one leg measuring 7 meters and a hypotenuse measuring 25 meters. What is the length of the other leg?

• 24 meters

• 20 meters

• 10 meters

• 15 meters

A kite is flying at a height of 30 feet, and the string makes a 60-degree angle with the ground. If the string is 40 feet long, how far is the kite from the point directly below it on the ground?

• 15 feet

• 20 feet

• 35 feet

• 25 feet