Real-World Applications of the Pythagorean Theorem

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. How long is the ladder?

• 10 feet

• 12 feet

• 8 feet

• 14 feet

Tags

CCSS.8.G.B.8

A triangular park has one angle measuring 90 degrees. If one leg of the triangle is 5 meters and the other leg is 12 meters, what is the length of the hypotenuse?

• 10 meters

• 8 meters

• 13 meters

• 15 meters

Tags

CCSS.8.G.B.7

A right triangle is formed by a ramp leading to a loading dock. If the ramp is 10 feet long and rises 6 feet, how far is the base of the ramp from the wall?

• 12 feet

• 5 feet

• 10 feet

• 8 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, how far is the kite from the person holding the string?

• 15√2 meters

• 10√3 meters

• 20 meters

• 5 meters

Tags

CCSS.HSG.SRT.C.8

A 45-45-90 triangle is formed by a square garden. If each side of the garden is 10 meters, what is the length of the diagonal?

• 7.07 meters

• 14.14 meters

• 10 meters

• 20 meters

Tags

CCSS.8.G.B.8

A right triangle is formed by a ramp that is 8 feet long and rises to a height of 6 feet. What is the horizontal distance from the base of the ramp to the wall?

• 2√7 feet

• 4 feet

• 6 feet

• 10 feet

Tags

CCSS.8.G.B.7

A 30-60-90 triangle is formed by a roof. If the shorter leg is 4 feet, what is the length of the longer leg?

• 8 feet

• 4 feet

• 2√3 feet

• 4√3 feet

Tags

CCSS.8.G.B.8

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

• 12 inches

• 8 inches

• 14 inches

• 10 inches

Tags

CCSS.8.G.B.7

A right triangle is formed by a flagpole and the ground. If the flagpole is 12 feet tall and the distance from the base of the flagpole to the point where the shadow ends is 9 feet, how long is the shadow?

• 8 feet

• 15 feet

• 10 feet

• 9 feet

Tags

CCSS.8.G.B.8