Pythagorean Theorem Challenges in Everyday Life

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

• 14 feet

• 12 feet

• 8 feet

• 10 feet

Tags

CCSS.8.G.B.8

A rectangular garden has a length of 10 meters and a width of 24 meters. What is the length of the diagonal of the garden?

• 15 meters

• 20 meters

• 30 meters

• 26 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?

• 17 cm

• 13 cm

• 10 cm

• 15 cm

Tags

CCSS.8.G.B.7

A soccer field is rectangular, measuring 50 meters in width and 70 meters in length. What is the distance from one corner of the field to the opposite corner?

• 100 meters

• 86.02 meters

• 50 meters

• 70 meters

Tags

CCSS.8.G.B.8

A tree casts a shadow that is 15 feet long. If the tree is 20 feet tall, how far is the top of the tree from the end of the shadow?

• 10 feet

• 25 feet

• 30 feet

• 20 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?

• 7 feet

• 4 feet

• 6 feet

• 5 feet

Tags

CCSS.8.G.B.8

A triangular park has one side measuring 5 meters and another side measuring 12 meters. If the angle between these two sides is a right angle, what is the length of the third side?

• 10 meters

• 13 meters

• 15 meters

• 8 meters

Tags

CCSS.8.G.B.8

A swimming pool is rectangular with a length of 25 meters and a width of 10 meters. What is the length of the diagonal across the pool?

• 20.00 meters

• 30.00 meters

• 26.93 meters

• 24.00 meters

Tags

CCSS.8.G.B.8

A kite is flying at a height of 30 meters. If the string of the kite is 50 meters long, how far is the kite from the point on the ground directly below it?

• 20 meters

• 60 meters

• 40 meters

• 30 meters

Tags

CCSS.8.G.B.8

A right triangle has one leg measuring 7 inches and a hypotenuse measuring 25 inches. What is the length of the other leg?

• 20 inches

• 24 inches

• 30 inches

• 15 inches

Tags

CCSS.8.G.B.7