Pythagorean Challenges: Find Missing Legs & Hypotenuses

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. What is the length of the ladder?

• 10 feet

• 12 feet

• 8 feet

• 5 feet

A rectangular garden has a length of 10 meters and a width of 24 meters. What is the length of the diagonal of the garden?

• 20 meters

• 26 meters

• 15 meters

• 30 meters

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

• 12 cm

• 8 cm

• 10 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?

• 180 feet

• 90 feet

• 90√2 feet

• 45√2 feet

A ramp is built to help wheelchair access. If the ramp rises 4 feet and extends 3 feet horizontally, what is the length of the ramp?

• 4 feet

• 5 feet

• 7 feet

• 6 feet

A triangular park has one leg measuring 12 meters and a hypotenuse measuring 13 meters. What is the length of the other leg?

• 7 meters

• 5 meters

• 10 meters

• 6 meters

A 5-foot tall person is standing 12 feet away from a building. If they look up at the top of the building, forming a right triangle, what is the height of the building if the hypotenuse is 13 feet?

• 8 feet

• 10 feet

• 15 feet

• 12 feet

A right triangle has legs measuring 7 inches and 24 inches. What is the length of the hypotenuse?

• 20 inches

• 25 inches

• 15 inches

• 30 inches

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

• 40 meters

• 30 meters

• 60 meters

• 20 meters

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

• 9 cm

• 8 cm

• 7 cm

• 5 cm