Pythagorean Theorem: Triangle Properties & 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. How long is the ladder?

• 8 feet

• 10 feet

• 12 feet

• 5 feet

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

• 12.00 meters

• 10.50 meters

• 11.66 meters

• 9.00 meters

A right triangle has one leg measuring 9 cm and a hypotenuse measuring 15 cm. What is the length of the other leg?

• 8 cm

• 10 cm

• 14 cm

• 12 cm

A baseball diamond is a square with each side measuring 90 feet. If a player runs from home plate to second base, how far does the player run?

• 180 feet

• 45√2 feet (approximately 63.64 feet)

• 90√2 feet (approximately 127.28 feet)

• 90 feet

A 12-foot tall tree casts a shadow that is 9 feet long. If you were to measure the distance from the top of the tree to the end of the shadow, how long would that distance be?

• 9 feet

• 12 feet

• 15 feet

• 18 feet

A right triangle has legs measuring 5 inches and 12 inches. What is the length of the hypotenuse?

• 10 inches

• 14 inches

• 15 inches

• 13 inches

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

• 4 feet

• 3 feet

• 6 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

• 20 meters

• 26 meters

A kite is flying at a height of 30 meters, and the string is pulled taut at a distance of 40 meters from the point directly below the kite. How long is the string?

• 50 meters

• 40 meters

• 30 meters

• 60 meters

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

• 8 cm

• 10 cm

• 12 cm

• 15 cm