Pythagorean Theorem & Distance Challenges for 8th Graders

A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the top of the ladder reaches a height of 8 feet. How long is the ladder?

• 12 feet

• 10 feet

• 8 feet

• 5 feet

A rectangular park has a length of 10 meters and a width of 24 meters. What is the distance between two opposite corners of the park?

• 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

• 13 cm

• 15 cm

• 10 cm

A drone flies from point A (2, 3) to point B (5, 7) in a straight line. What is the distance the drone travels?

• 4

• 5

• 3

• 7

A triangular garden has sides measuring 5 meters, 12 meters, and 13 meters. Is this triangle a right triangle?

• Yes, this triangle is a right triangle.

• No, this triangle is an obtuse triangle.

• Yes, this triangle is an equilateral triangle.

• No, this triangle is not a right triangle.

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

• 180 feet

• 90 feet

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

• 12 cm

• 14 cm

• 10 cm

• 8 cm

A rectangular swimming pool is 30 feet long and 40 feet wide. What is the distance from one corner of the pool to the opposite corner?

• 30 feet

• 70 feet

• 40 feet

• 50 feet

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

• 20 inches

• 25 inches

• 15 inches

• 30 inches

A person walks from point (1, 2) to point (4, 6). How far did they walk?

• 10

• 7

• 5

• 3