Real-World Right Triangle Challenges for 8th Graders

A ladder is leaning against a wall. The base of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet. What is the length of the ladder?

• 10 feet

• 8 feet

• 14 feet

• 12 feet

A rectangular garden has a diagonal path that measures 10 meters. If one side of the garden is 6 meters long, how long is the other side?

• 5 meters

• 8 meters

• 9 meters

• 7 meters

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

• 15 cm

• 10 cm

• 14 cm

• 13 cm

A baseball diamond is a square with each side measuring 90 feet. What is the distance from home plate to second base, which forms the hypotenuse of a right triangle?

• 90√2 feet

• 45√2 feet

• 180 feet

• 90 feet

A 15-foot tall tree casts a shadow that is 9 feet long. How far is the top of the tree from the tip of the shadow?

• 15 feet

• 20 feet

• 10 feet

• 17.44 feet

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

• 25 inches

• 30 inches

• 20 inches

• 15 inches

A ramp is built to help wheelchair access. If the ramp is 4 feet long and rises 3 feet, what is the horizontal distance from the base of the ramp to the wall?

• 3.5 feet

• Approximately 2.65 feet

• 1.5 feet

• 4.5 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

• 8 cm

• 10 cm

• 6 cm

A swimming pool is rectangular, and the diagonal measures 25 feet. If one side is 20 feet long, how long is the other side?

• 15 feet

• 30 feet

• 20 feet

• 10 feet

A kite is flying at a height of 30 meters, and the string makes a 60-degree angle with the ground. How long is the string, which acts as the hypotenuse of a right triangle?

• 20√3 meters

• 30 meters

• 25√2 meters

• 15 meters