Real-World Pythagorean Theorem 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 ladder reaches a height of 8 feet on the wall. How long is the ladder?

• 14 feet

• 8 feet

• 12 feet

• 10 feet

Tags

CCSS.8.G.B.8

A rectangular park has a length of 30 meters and a width of 40 meters. What is the distance between two opposite corners of the park?

• 40 meters

• 50 meters

• 30 meters

• 70 meters

Tags

CCSS.8.G.B.8

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

• 10 cm

• 13 cm

• 17 cm

• 15 cm

Tags

CCSS.8.G.B.7

A 5-meter tall tree casts a shadow of 4 meters. If you stand 3 meters away from the base of the tree, how far is the top of the tree from you?

• 6.2 meters

• 4.5 meters

• 5.83 meters

• 7.1 meters

Tags

CCSS.8.G.B.8

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

• 6 cm

• 10 cm

• 8 cm

• 12 cm

Tags

CCSS.8.G.B.7

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

Tags

CCSS.8.G.B.8

A ramp is built to help wheelchair access. If the ramp rises 3 feet over a horizontal distance of 4 feet, what is the length of the ramp?

• 6 feet

• 7 feet

• 4 feet

• 5 feet

Tags

CCSS.8.G.B.8

A kite is flying at a height of 15 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 10 meters, how long is the string?

• 7.5 meters

• 8.66 meters

• 12.5 meters

• 10 meters

Tags

CCSS.HSG.SRT.C.8

A right triangle has a hypotenuse of 10 inches and one leg of 6 inches. Find the length of the other leg.

• 5 inches

• 8 inches

• 9 inches

• 7 inches

Tags

CCSS.8.G.B.7

A swimming pool is rectangular with a length of 25 meters and a width of 20 meters. What is the diagonal distance across the pool?

• 32.02 meters

• 30.00 meters

• 28.50 meters

• 35.00 meters

Tags

CCSS.8.G.B.8