8th Grade Pythagorean Theorem & Right Triangle Challenges

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 on the wall. What is the length of the ladder?

• 6 feet

• 10 feet

• 8 feet

• 12 feet

A rectangular garden has a length of 10 meters and a width of 6 meters. If you want to plant a diagonal path from one corner to the opposite corner, how long will the path be?

• 9 meters

• 11.66 meters

• 10.5 meters

• 12 meters

A right triangle has one leg measuring 9 cm and the hypotenuse measuring 15 cm. What is the length of the other leg?

• 8 cm

• 12 cm

• 14 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?

• 45√2 feet

• 90√2 feet

• 90 feet

• 180 feet

A right triangle has legs measuring 12 inches and 16 inches. What is the length of the hypotenuse?

• 22 inches

• 18 inches

• 20 inches

• 24 inches

A 5-foot tall person is standing 12 feet away from a wall. If they look up at the top of the wall, which is 15 feet tall, what is the angle of elevation from their eyes to the top of the wall?

• 30 degrees

• 45 degrees

• 39.81 degrees

• 60 degrees

A triangular park has one side measuring 30 meters and another side measuring 40 meters. If the angle between these two sides is a right angle, what is the length of the third side?

• 20 meters

• 70 meters

• 50 meters

• 60 meters

A kite is flying at a height of 24 meters. If the string makes a 60-degree angle with the ground and the distance from the person to the point directly below the kite is 12 meters, how long is the string?

• 30.50 meters

• 27.71 meters

• 25.00 meters

• 20.00 meters

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

• 8 cm

• 14 cm

• 10 cm

• 12 cm

A swimming pool is rectangular, measuring 20 meters in length and 15 meters in width. If a diagonal line is drawn from one corner to the opposite corner, what is the length of that diagonal?

• 30 meters

• 20 meters

• 15 meters

• 25 meters