Pythagorean Theorem & Distance Calculations 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?

• 8 feet

• 14 feet

• 10 feet

• 12 feet

Tags

CCSS.8.G.B.8

Two friends are standing at points A(2, 3) and B(5, 7) on a coordinate plane. What is the distance between them?

• 7

• 4

• 3

• 5

Tags

CCSS.HSG.GPE.B.7

A rectangular park has a length of 10 meters and a width of 24 meters. What is the distance from one corner of the park to the opposite corner?

• 30 meters

• 26 meters

• 20 meters

• 15 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

• 15 cm

• 10 cm

• 13 cm

Tags

CCSS.8.G.B.7

A drone flies from point C(1, 1) to point D(4, 5). Calculate the distance the drone traveled.

• 3

• 6

• 7

• 5

Tags

CCSS.HSG.GPE.B.7

A square has a side length of 5 cm. What is the length of the diagonal of the square?

• 5 cm

• 3.5 cm

• 7.07 cm

• 10 cm

Tags

CCSS.8.G.B.8

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 feet

• 180 feet

• 90√2 feet

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?

• 12 cm

• 15 cm

• 8 cm

• 10 cm

Tags

CCSS.8.G.B.7

Two cities are located at coordinates (3, 4) and (7, 1). What is the distance between the two cities?

• 2.5

• 5.0

• 4.0

• 3.605551275463989

Tags

CCSS.HSG.GPE.B.7

A rectangular swimming pool is 15 meters long and 20 meters wide. What is the distance from one corner of the pool to the opposite corner?

• 20 meters

• 15 meters

• 25 meters

• 30 meters

Tags

CCSS.8.G.B.8