Mastering the Pythagorean Theorem: Hypotenuse Challenges

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. What is the length of the ladder?

• 8 feet

• 12 feet

• 14 feet

• 10 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?

• 26 meters

• 20 meters

• 22 meters

• 30 meters

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

• 15 cm

• 13 cm

• 17 cm

• 10 cm

A baseball diamond is a square with each side measuring 90 feet. What is the distance from home plate to second base, which forms the hypotenuse of a right triangle?

• 90√2 feet

• 45√2 feet

• 90 feet

• 180 feet

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?

• 3 feet

• 6 feet

• 4 feet

• 5 feet

A 15-foot tall tree casts a shadow that is 9 feet long. How far is the base of the tree from the end of the shadow, forming a right triangle?

• 17.5 feet

• 15 feet

• 20 feet

• 12 feet

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

• 10 inches

• 15 inches

• 14 inches

• 13 inches

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

• 50 feet

• 45 feet

• 55 feet

• 60 feet

A kite is flying at a height of 50 meters, and the string makes an angle with the ground such that the horizontal distance from the person holding the kite to the point directly below the kite is 30 meters. How long is the string?

• 58.31 meters

• 70.50 meters

• 45.00 meters

• 55.00 meters

A right triangle has one leg that is 7 cm long and a hypotenuse that is 25 cm long. What is the length of the other leg?

• 10 cm

• 24 cm

• 20 cm

• 15 cm