Pythagorean Theorem: Solve & Interpret Geometry Challenges

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. Use the Pythagorean theorem to find the length of the ladder.

• 8 feet

• 14 feet

• 10 feet

• 12 feet

A rectangular garden has a length of 10 meters and a width of 6 meters. If you want to plant a diagonal path from one corner to the opposite corner, how long will the path be?

• 12.00 meters

• 10.50 meters

• 9.00 meters

• 11.66 meters

A right triangle has one leg measuring 9 cm and the other leg measuring x cm. If the hypotenuse is 15 cm, find the value of x using the Pythagorean theorem.

• 8 cm

• 12 cm

• 10 cm

• 14 cm

A 12-foot tall tree casts a shadow that is 9 feet long. If you were to walk directly from the top of the tree to the end of the shadow, how far would you walk? Use the Pythagorean theorem to find the distance.

• 9 feet

• 15 feet

• 12 feet

• 18 feet

A baseball diamond is a square with each side measuring 90 feet. What is the distance from home plate to second base? Use the Pythagorean theorem to calculate this distance.

• 180 feet

• 45√2 feet

• 90√2 feet

• 90 feet

A right triangle has a hypotenuse of 13 cm and one leg measuring 5 cm. Find the length of the other leg using the Pythagorean theorem.

• 12 cm

• 8 cm

• 9 cm

• 10 cm

A ramp is built to help wheelchair access to a building. If the ramp rises 4 feet and extends 3 feet horizontally, what is the length of the ramp? Use the Pythagorean theorem to find the answer.

• 7 feet

• 4 feet

• 6 feet

• 5 feet

A kite is flying at a height of 30 meters. If the string of the kite is 50 meters long, how far is the kite from the point directly below it on the ground? Use the Pythagorean theorem to solve this problem.

• 50 meters

• 40 meters

• 20 meters

• 30 meters

A right triangle has legs measuring 7 inches and 24 inches. Calculate the length of the hypotenuse using the Pythagorean theorem.

• 26 inches

• 30 inches

• 25 inches

• 20 inches

A swimming pool is rectangular, measuring 15 meters by 20 meters. If you swim diagonally from one corner to the opposite corner, how far do you swim? Use the Pythagorean theorem to find the distance.

• 20 meters

• 25 meters

• 15 meters

• 30 meters