Finding Distance with Pythagorean Theorem

What is the formula for finding the hypotenuse?

• a²+b²=c²

• a+b=c

• a-b=c

• c-a=c

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m

Is this triangle a right triangle? (Picture not drawn to scale)

• yes

• no

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

a² + b² = c^{2
a = 20 c = 29}

• b = 21

• b = 45

• b = 12

• b = 32

solve for c

• 7

• 9

• 4

• 13

Solve for the walkway length

• 30

• 40

• 58

• 35

What is the length of x?

• 5

• 7

• 8

• 25

A bee is in a box shaped as a rectangular prism. The box measures 30 inches by 14 inches by 40 inches. The bee flies from one corner of the box to the corner that is the farthest away. To the nearest inch, how far does the bee fly?

• 17 in.

• 45 in.

• 38 in.

• 52 in.

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm