Pythagorean Theorem: Calculate & Apply in Real Life

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

• 8 feet

• 12 feet

• 10 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

• 22 meters

• 30 meters

• 26 meters

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

• 13 cm

• 17 cm

• 10 cm

• 15 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

• 90√2 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?

• 4 feet

• 3 feet

• 6 feet

• 5 feet

A 15-foot tall tree casts a shadow that is 9 feet long. How far is the top of the tree from the end of the shadow?

• 17.49 feet

• 15 feet

• 10 feet

• 20 feet

A triangular park has one side measuring 7 meters and another side measuring 24 meters. If the park is a right triangle, what is the length of the hypotenuse?

• 30 meters

• 25 meters

• 22 meters

• 20 meters

A kite is flying at a height of 30 meters. If the string is pulled tight and makes a 60-degree angle with the ground, how long is the string?

• 30√2 meters

• 15 meters

• 20√3 meters

• 25 meters

A right triangle has a hypotenuse of 13 cm and one leg measuring 5 cm. What is the length of the other leg?

• 10 cm

• 8 cm

• 6 cm

• 12 cm

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