Right Triangles and the Pythagorean Theorem Challenge

A ladder is leaning against a wall. The base of the ladder is 6 feet from the wall, and the ladder reaches a height of 8 feet. Is the ladder forming a right triangle?

• The ladder is forming an acute triangle.

• The ladder is forming an obtuse triangle.

• No, the ladder is not forming a right triangle.

• Yes, the ladder is forming a right triangle.

A rectangular garden has a length of 10 meters and a width of 24 meters. What is the length of the diagonal path across the garden?

• 22 meters

• 20 meters

• 26 meters

• 30 meters

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

• 17 cm

• 10 cm

• 13 cm

• 15 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 feet

• 90√2 feet

A ramp is built to help wheelchair access. If the ramp is 4 feet high and 3 feet long, what is the length of the ramp?

• 6 feet

• 5 feet

• 3 feet

• 4 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

• 10 cm

• 12 cm

• 15 cm

A triangular park has one side measuring 15 meters and another side measuring 20 meters. If the park is a right triangle, what is the length of the hypotenuse?

• 22 meters

• 30 meters

• 18 meters

• 25 meters

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?

• 60 meters

• 40 meters

• 20 meters

• 30 meters

A right triangle has legs measuring 7 inches and 24 inches. Calculate the length of the hypotenuse.

• 26 inches

• 25 inches

• 30 inches

• 20 inches

A swimming pool is rectangular, measuring 15 meters by 20 meters. What is the length of the diagonal across the pool?

• 20 meters

• 15 meters

• 30 meters

• 25 meters