Mastering Right Triangles: Pythagorean Theorem Quiz

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. Is the ladder the hypotenuse of a right triangle?

• Yes, the ladder is the hypotenuse of a right triangle.

• The ladder is the base of the triangle.

• The ladder is one of the legs of the triangle.

• No, the ladder is not a triangle.

A rectangular garden has a length of 10 meters and a width of 24 meters. What is the length of the diagonal that divides the garden into two right triangles?

• 26 meters

• 30 meters

• 20 meters

• 22 meters

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

• 15 cm

• 17 cm

• 13 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

• 90 feet

• 180 feet

• 45√2 feet

A 15-foot tall tree casts a shadow that is 9 feet long. If you draw a right triangle from the top of the tree to the end of the shadow, what is the length of the hypotenuse?

• 9 feet

• 15 feet

• 17.49 feet

• 18 feet

A right triangle has a base of 5 inches and a height of 12 inches. Calculate the length of the hypotenuse.

• 14 inches

• 13 inches

• 15 inches

• 10 inches

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

• 3.5 feet

• 1.5 feet

• 4.5 feet

• 2.65 feet

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

• 25 cm

• 30 cm

• 20 cm

• 26 cm

A kite is flying at a height of 30 meters. If the string is 50 meters long, how far is the kite from the point directly below it on the ground?

• 40 meters

• 45 meters

• 35 meters

• 20 meters

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

• 8 cm

• 15 cm

• 10 cm