Mastering Right Triangles: Pythagorean Problems for 8th Graders

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. What is the length of the ladder?

• 12 feet

• 10 feet

• 8 feet

• 5 feet

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

• 14 cm

• 10 cm

• 13 cm

A park has a triangular section that is a right triangle. One leg is 9 meters long, and the other leg is 12 meters long. How long is the diagonal path across the park?

• 15 meters

• 18 meters

• 10 meters

• 13 meters

A right triangle has a base of 7 inches and a height of 24 inches. Calculate the length of the hypotenuse using the Pythagorean theorem.

• 25 inches

• 20 inches

• 30 inches

• 15 inches

A ramp is built to help wheelchair access. If the ramp is 10 feet long and rises 4 feet high, how far is the base of the ramp from the wall it is leaning against?

• 3√21 feet

• 5 feet

• 8 feet

• 2√21 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

• 6 cm

• 8 cm

• 10 cm

A triangular garden has a right angle. If one side is 15 feet and the other side is 20 feet, what is the length of the diagonal path across the garden?

• 15 feet

• 30 feet

• 20 feet

• 25 feet

A right triangle has legs measuring 8 meters and 15 meters. What is the length of the hypotenuse?

• 10 meters

• 20 meters

• 17 meters

• 12 meters

A right triangle is formed by a 30-foot tall tree and the distance from the base of the tree to the point where the top of the tree casts a shadow is 40 feet. How tall is the tree if the shadow forms a right triangle?

• 35 feet

• 20 feet

• 30 feet

• 25 feet

A right triangle has a hypotenuse of 10 cm and one leg measuring 6 cm. Find the length of the other leg using the Pythagorean theorem.

• 12 cm

• 10 cm

• 6 cm

• 8 cm