Pythagorean Theorem and Distance

Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mattie’s house. How much further did Caroline walk using this route instead of taking a straight path to Mattie's house?

• 4 blocks

• 10 blocks

• 14 blocks

• 100 blocks

Find the length of line segment BD if the cube has side lengths of 10 inches

• 10.4 in.

• 14.1 in.

• 17.3 in.

What is the length to the nearest unit of line segment AD

( see the study guide)

• 10.3

• 9.5

• 106

What is the length of line segment BD?
Check the hard copy for the drawn line segment.

• 4 in

• 4.8 in

• 5.8 in

• 13 in

The foot of a ladder is placed 15 feet from the wall.  If the top of the ladder rests 20 feet up on the wall, how long is the ladder?

• 25

• 13.2

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

Find the distance.

• 7.1

• 7.8

• (6, 4.5)

• (2.5, 8)

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16

Find the distance.

• 9.7

• 10.7

• 11.7

• 12.7