Real-World Pythagorean Theorem Challenges for Grade 8

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?

• 12 feet

• 8 feet

• 14 feet

• 10 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?

• 13 cm

• 15 cm

• 17 cm

• 10 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

• 45√2 feet

• 90 feet

• 180 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

• 9 feet

• 17.44 feet

• 20 feet

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

• 6 cm

• 8 cm

• 12 cm

• 10 cm

A ramp is built to help wheelchair access. If the ramp is 4 feet long and rises 3 feet, how far is the base of the ramp from the wall it is leaning against?

• 1.5 feet

• 2.65 feet

• 3.5 feet

• 4.5 feet

A triangular park has sides measuring 7 m, 24 m, and 25 m. Is this triangle a right triangle?

• Yes, it is an isosceles triangle.

• No, it is a scalene triangle.

• Yes, it is a right triangle.

• No, it is an equilateral triangle.

A kite is flying at a height of 30 meters, and the string makes a 60-degree angle with the ground. If the string is 50 meters long, how far is the kite from the point directly below it on the ground?

• 40 meters

• 30 meters

• 25 meters

• 20 meters

A rectangular swimming pool is 20 meters long and 15 meters wide. What is the distance from one corner of the pool to the opposite corner?

• 25 meters

• 15 meters

• 20 meters

• 30 meters