Understand and Apply the Pythagorean Theorem

Find the distance.

• 7.1

• 7.8

• 8.7

• 8.9

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

• 65 miles

• 89 miles

• 45.4 miles

• We don't have enough information.

In a computer catalog, a computer monitor is listed as being 27 inches. This distance is the diagonal distance across the screen. If the screen measures 15 inches in height, what is the actual width of the screen to the nearest inch? 

• 22 in

• 23 in

• 24 in

• 25 in

Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30.  How wide is the t.v.?

• 30²  + 40² = c²

• a²  + 40² = 30²

• 30²  + b² = 40²

• 40²  + 30² = c²

Your family wants to purchase a new laptop with a 17” widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don’t remember the width. What is the width?

• 13.7 inches

• 12.8 inches

• 11.3 inches

• 13.1 inches

Find the distance between these 2 points.

• 5.8

•  6.3

• 8.1

• 40

Find the distance.

• 9.7

• 10.7

• 11.7

• 12.7

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

Solve for c

• 7

• 9

• 4

• 13

Find the length of the missing side.

• 48

• 108

• 83.6

• 72