Pythagorean Theorem: Calculate & Solve Real-World Problems

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. How long is the ladder?

• 14 feet

• 8 feet

• 10 feet

• 12 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?

• 22 meters

• 30 meters

• 26 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

• 8 cm

• 14 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?

• 45√2 feet

• 90 feet

• 180 feet

• 90√2 feet

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

• 4 feet

• 3 feet

• 6 feet

• 5 feet

A triangular park has one side measuring 12 meters and another side measuring 16 meters. If the park is a right triangle, what is the length of the hypotenuse?

• 24 meters

• 22 meters

• 20 meters

• 18 meters

A 5-foot tall person is standing 12 feet away from a wall. If they look up at the top of the wall, which is 13 feet tall, how far up the wall is the line of sight?

• 12 feet

• 5 feet

• 8 feet

• 10 feet

A kite is flying at a height of 30 meters, and it is 40 meters away from the point directly below it. How long is the string of the kite?

• 40 meters

• 50 meters

• 60 meters

• 30 meters

A swimming pool is rectangular with a length of 20 meters and a width of 15 meters. What is the length of the diagonal across the pool?

• 25 meters

• 30 meters

• 15 meters

• 20 meters

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

• 24 inches

• 15 inches

• 20 inches

• 30 inches