Real-World Pythagorean Challenges for Grade 8 Students

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?

• 8 feet

• 12 feet

• 14 feet

• 10 feet

A rectangular park has a length of 30 meters and a width of 40 meters. What is the distance between two opposite corners of the park?

• 60 meters

• 70 meters

• 40 meters

• 50 meters

A right triangle has one leg measuring 9 cm and the other leg measuring 12 cm. What is the length of the hypotenuse?

• 10 cm

• 13 cm

• 17 cm

• 15 cm

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

• 180 feet

• 90√2 feet

• 90 feet

• 45√2 feet

A 5-foot tall person is standing 12 feet away from a building. If they look up at a 60-degree angle, how tall is the building?

• 20.784 feet

• 30 feet

• 25 feet

• 15 feet

A triangular garden 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?

• 20 meters

• 15 meters

• 30 meters

• 25 meters

A kite is flying at a height of 15 meters and is 20 meters away from the point directly below it. How long is the string of the kite?

• 25 meters

• 20 meters

• 15 meters

• 30 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

• 6 cm

• 10 cm

• 12 cm

A swimming pool is rectangular, measuring 10 meters by 24 meters. What is the diagonal distance across the pool?

• 30 meters

• 26 meters

• 22 meters

• 20 meters

A tree casts a shadow that is 10 feet long. If the tree is 15 feet tall, how far is the top of the tree from the end of the shadow?

• 15 feet

• 12.5 feet

• 20 feet

• 18.03 feet