Pythagorean Theorem: Calculate & Apply Side Lengths

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. How long is the ladder?

• 14 feet

• 12 feet

• 10 feet

• 8 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

• 30 meters

• 22 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?

• 15 cm

• 13 cm

• 10 cm

• 17 cm

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

• 90√2 feet

• 180 feet

• 90 feet

• 45√2 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?

• 5 feet

• 6 feet

• 4 feet

• 3 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?

• 15 feet

• 17.44 feet

• 20 feet

• 10 feet

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

• 10 cm

• 8 cm

• 6 cm

A swimming pool is rectangular, measuring 30 feet by 40 feet. What is the length of the diagonal across the pool?

• 55 feet

• 60 feet

• 50 feet

• 45 feet

A kite is flying at a height of 50 meters, and the string makes a 60-degree angle with the ground. If the string is 100 meters long, how far is the kite from the point directly below it on the ground?

• 50 meters

• 70 meters

• 30 meters

• 100 meters

A triangular park has one side measuring 7 meters and another side measuring 24 meters. What is the length of the third side if it forms a right triangle?

• 25 meters

• 22 meters

• 20 meters

• 30 meters