Pythagorean Theorem: Calculating Distances & Heights

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?

• 8 feet

• 12 feet

• 10 feet

• 14 feet

A rectangular park has a length of 10 meters and a width of 24 meters. What is the distance between two opposite corners of the park?

• 22 meters

• 20 meters

• 26 meters

• 30 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 soccer field is in the shape of a rectangle. If the length is 30 meters and the width is 40 meters, what is the diagonal distance across the field?

• 60 meters

• 50 meters

• 55 meters

• 45 meters

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

• 6 cm

• 12 cm

• 10 cm

• 8 cm

A ramp is built to help wheelchair access. If the ramp is 4 feet long and rises 3 feet high, how far is the base of the ramp from the wall?

• 4.5 feet

• Approximately 2.65 feet

• 3.5 feet

• 1.5 feet

A swimming pool is rectangular, measuring 15 meters by 20 meters. What is the distance from one corner of the pool to the opposite corner?

• 15 meters

• 20 meters

• 25 meters

• 30 meters

A right triangle has a hypotenuse of 10 inches and one leg of 6 inches. Calculate the length of the other leg.

• 8 inches

• 7 inches

• 9 inches

• 5 inches

A tree is leaning and forms a right triangle with the ground. If the tree is 15 feet tall and the base is 9 feet from the wall, how tall is the tree when it is standing straight?

• 15 feet

• 10 feet

• 12 feet

• 18 feet

A kite is flying at a height of 12 meters. If the string is 15 meters long, how far is the kite from the point directly below it on the ground?

• 9 meters

• 12 meters

• 11 meters

• 10 meters