Right Triangle Challenges: Mastering the Pythagorean Theorem

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?

• 5 feet

• 12 feet

• 8 feet

• 10 feet

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

• 10 cm

• 15 cm

• 14 cm

• 13 cm

A rectangular park has a width of 30 meters and a length of 40 meters. If you want to walk diagonally across the park, how far will you walk?

• 70 meters

• 30 meters

• 50 meters

• 40 meters

A right triangle is formed by a ramp that is 10 feet long and rises to a height of 6 feet. How far is the base of the ramp from the wall it touches?

• 4 feet

• 10 feet

• 8 feet

• 6 feet

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

• 90 feet

• 180 feet

• 90√2 feet

• 45√2 feet

A right triangle has one leg that is 9 inches long and a hypotenuse that is 15 inches long. What is the length of the other leg?

• 8 inches

• 10 inches

• 12 inches

• 14 inches

A 12-foot tall tree casts a shadow that is 9 feet long. If you were to walk directly from the top of the shadow to the top of the tree, how far would you walk?

• 9 feet

• 15 feet

• 12 feet

• 18 feet

A right triangle has legs measuring 7 cm and 24 cm. What is the length of the hypotenuse?

• 30 cm

• 20 cm

• 25 cm

• 26 cm

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

• 3.5 feet

• 4.5 feet

• Approximately 2.65 feet

• 1.5 feet

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

• 10 cm

• 6 cm

• 12 cm

• 8 cm