Distance and the Pythagorean Theorem

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Find the distance between J and K.

• 8.2

• 7.7

• 9

• 10.2

Find the length of the missing side.

• 48

• 108

• 83.6

• 72

We are given one of the sides and the hypotenuse. Find the length of the missing side length. (Hint: distance from the wall to the bottom of the ladder)

• 7

• 5

• 11

• 25

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

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

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

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

• yes

• no

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.