Pythagorean Theorem Challenges: Right Triangles in Action

A right triangle has one leg measuring 6 cm and the other leg measuring 8 cm. What is the length of the hypotenuse?

• 12 cm

• 8 cm

• 14 cm

• 10 cm

A ladder is leaning against a wall. The foot of the ladder is 5 feet away from the wall, and the ladder reaches a height of 12 feet on the wall. How long is the ladder?

• 8 feet

• 13 feet

• 10 feet

• 15 feet

A rectangular garden has a length of 9 meters and a width of 12 meters. If you want to plant a diagonal path from one corner to the opposite corner, how long will the path be?

• 17 meters

• 10 meters

• 13 meters

• 15 meters

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

• 25 cm

• 30 cm

• 26 cm

• 20 cm

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?

• 20 feet

• 15 feet

• 17.49 feet

• 12 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

• 8 cm

• 12 cm

• 6 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

• 45√2 feet

• 90√2 feet

• 90 feet

A right triangle has legs measuring 9 inches and 12 inches. What is the length of the hypotenuse?

• 18 inches

• 10 inches

• 15 inches

• 14 inches

A ramp is built to help wheelchair access. If the ramp rises 4 feet over a horizontal distance of 3 feet, what is the length of the ramp?

• 3 feet

• 5 feet

• 6 feet

• 4 feet

A right triangle has a hypotenuse of 10 cm and one leg measuring 6 cm. What is the length of the other leg?

• 8 cm

• 9 cm

• 7 cm

• 5 cm