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 positioned correctly according to the Pythagorean theorem?

• No, the ladder is too short.

• Yes, the ladder is positioned correctly.

• No, the ladder is leaning at the wrong angle.

• Yes, but it should be placed further from the wall.

A rectangular garden has a length of 10 meters and a width of 6 meters. What is the length of the diagonal of the garden?

• 9 meters

• 10.5 meters

• 12 meters

• 11.66 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

• 180 feet

• 90 feet

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

• 8 cm

• 6 cm

• 12 cm

• 10 cm

A 15-foot tall tree casts a shadow that is 9 feet long. If you were to walk directly from the top of the tree to the end of the shadow, how far would you walk?

• 15 feet

• 17.44 feet

• 20 feet

• 9 feet

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

• 4.5 feet

• 1.5 feet

• 3.5 feet

• 2.65 feet

A right triangle has angles of 90 degrees, 45 degrees, and 45 degrees. If one leg measures 7 cm, what is the length of the hypotenuse?

• 7.5 cm

• 10.5 cm

• 8.5 cm

• 9.9 cm

A swimming pool is rectangular, measuring 20 meters by 15 meters. What is the distance from one corner of the pool to the opposite corner?

• 20 meters

• 25 meters

• 30 meters

• 15 meters

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

• 7 inches

• 5 inches

• 8 inches

• 9 inches