Visualizing Pythagorean Problems in Real Life

A ladder is leaning against a wall. The base of the ladder is 4 feet from the wall, and the ladder reaches a height of 3 feet on the wall. How long is the ladder?

• 5 feet

• 6 feet

• 4 feet

• 3.5 feet

A rectangular garden has a length of 6 meters and a width of 8 meters. What is the length of the diagonal of the garden?

• 8 meters

• 12 meters

• 10 meters

• 5 meters

A right triangle has one leg measuring 5 cm and the other leg measuring 12 cm. What is the length of the hypotenuse?

• 13 cm

• 10 cm

• 14 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?

• 90 feet

• 180 feet

• 45√2 feet

• 90√2 feet

A ramp is built to help wheelchair access. If the ramp is 6 feet long and rises 2 feet high, what is the horizontal distance from the base of the ramp to the wall?

• 6.5 feet

• 5 feet

• 4.24 feet

• 3.5 feet

A kite is flying at a height of 10 meters. If the string is 13 meters long, how far is the kite from the point directly below it on the ground?

• 8.31 meters

• 10 meters

• 12 meters

• 5 meters

A swimming pool is rectangular, measuring 15 meters by 20 meters. What is the length of the diagonal across the pool?

• 25 meters

• 30 meters

• 20 meters

• 15 meters

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

• 7 inches

• 8 inches

• 5 inches

• 9 inches

A tree is leaning such that the top of the tree is 15 feet high and the base is 9 feet away from the wall. How long is the tree?

• 17.49 feet

• 15.00 feet

• 20.00 feet

• 12.00 feet

A triangular park has sides measuring 7 meters, 24 meters, and 25 meters. Is this triangle a right triangle? If so, identify the hypotenuse.

• Yes, the hypotenuse is 25 meters.

• No, this triangle is not a right triangle.

• Yes, the hypotenuse is 7 meters.

• No, the hypotenuse is 24 meters.