Applying the Pythagorean Theorem in Real Life Scenarios

A ladder is leaning against a wall. The foot of the ladder is 4 feet away from the wall, and the ladder reaches a height of 3 feet on the wall. How long is the ladder?

• 5 feet

• 6 feet

• 7 feet

• 4 feet

Tags

CCSS.8.G.B.8

A rectangular garden has a length of 10 meters and a width of 6 meters. If a diagonal path is to be created across the garden, what is the length of the path?

• 9 meters

• 11.66 meters

• 12 meters

• 10.5 meters

Tags

CCSS.8.G.B.8

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

• 12 cm

• 8 cm

• 10 cm

• 6 cm

Tags

CCSS.8.G.B.7

A swimming pool is in the shape of a rectangle. The length is 12 meters, and the diagonal from one corner to the opposite corner is 13 meters. What is the width of the pool?

• 6 meters

• 5 meters

• 4 meters

• 7 meters

Tags

CCSS.8.G.B.8

A kite is flying at a height of 15 meters. If the string of the kite is 17 meters long, how far is the kite from the point on the ground directly below it?

• 8 meters

• 5 meters

• 12 meters

• 10 meters

Tags

CCSS.8.G.B.8

A right triangle has a base of 8 inches and a height of 6 inches. What is the length of the hypotenuse?

• 12 inches

• 5 inches

• 10 inches

• 8 inches

Tags

CCSS.8.G.B.7

A tree casts a shadow that is 10 feet long. If the tree is 24 feet tall, how far is the top of the tree from the tip of the shadow?

• 26 feet

• 15 feet

• 30 feet

• 20 feet

Tags

CCSS.8.G.B.8

A triangular park has one side measuring 9 meters and another side measuring 12 meters. If the angle between these two sides is a right angle, what is the length of the park's diagonal?

• 15 meters

• 10 meters

• 13 meters

• 18 meters

Tags

CCSS.8.G.B.8

A ramp is built to help wheelchair access. If the ramp is 5 feet long and rises to a height of 4 feet, how far is the base of the ramp from the wall it is leaning against?

• 3 feet

• 4 feet

• 2 feet

• 6 feet

Tags

CCSS.8.G.B.8

A right triangle has legs measuring 7 cm and 24 cm. What is the length of the hypotenuse of the triangle?

• 25 cm

• 30 cm

• 26 cm

• 20 cm

Tags

CCSS.8.G.B.7