Pythagorean Theorem: Distance Calculation Challenges

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?

• 6 feet

• 8 feet

• 10 feet

• 12 feet

Tags

CCSS.8.G.B.8

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?

• 20 meters

• 30 meters

• 26 meters

• 22 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?

• 15 cm

• 13 cm

• 10 cm

• 17 cm

Tags

CCSS.8.G.B.7

A boat is sailing directly across a river that is 300 meters wide. If the boat is 400 meters downstream when it reaches the opposite bank, what is the distance the boat traveled?

• 400 meters

• 500 meters

• 600 meters

• 300 meters

Tags

CCSS.8.G.B.8

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

• 8 cm

• 10 cm

• 12 cm

• 14 cm

Tags

CCSS.8.G.B.7

A soccer field is rectangular, measuring 50 meters by 100 meters. What is the distance between two opposite corners of the field?

• 111.8 meters

• 100 meters

• 50 meters

• 120 meters

Tags

CCSS.8.G.B.8

A person walks 3 miles north and then 4 miles east. How far are they from their starting point?

• 7 miles

• 6 miles

• 4 miles

• 5 miles

Tags

CCSS.8.G.B.8

A right triangle has a hypotenuse of 13 inches and one leg measuring 5 inches. Calculate the length of the other leg.

• 8 inches

• 12 inches

• 10 inches

• 6 inches

Tags

CCSS.8.G.B.7

A construction worker needs to place a support beam diagonally across a rectangular frame that is 6 feet wide and 8 feet tall. What is the length of the beam?

• 8 feet

• 12 feet

• 14 feet

• 10 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?

• 20 cm

• 26 cm

• 25 cm

• 30 cm

Tags

CCSS.8.G.B.7