Pythagorean Theorem Challenges: Real-World Applications

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?

• 10 feet

• 8 feet

• 12 feet

• 14 feet

A rectangular park has a length of 30 meters and a width of 40 meters. What is the length of the diagonal path that runs from one corner of the park to the opposite corner?

• 60 meters

• 45 meters

• 55 meters

• 50 meters

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

• 15 cm

• 17 cm

• 13 cm

• 10 cm

A kite is flying at a height of 15 meters. If the string of the kite is 20 meters long, how far is the kite from the point on the ground directly below it?

• 10 meters

• 13.23 meters

• 18 meters

• 15 meters

A swimming pool is in the shape of a rectangle. The length is 25 meters, and the width is 20 meters. What is the length of the diagonal across the pool?

• 30 meters

• 28.5 meters

• 35 meters

• 32.02 meters

A triangular garden has one side measuring 5 meters and another side measuring 12 meters. If the garden is a right triangle, what is the length of the hypotenuse?

• 8 meters

• 15 meters

• 10 meters

• 13 meters

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

• 6 cm

• 8 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?

• 180 feet

• 45√2 feet

• 90 feet

• 90√2 feet

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

• 4 feet

• 6 feet

A tree is leaning such that the top of the tree is 10 feet away from the base of the tree and 24 feet high. How long is the tree?

• 26 feet

• 22 feet

• 20 feet

• 30 feet