Pythagorean Theorem

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Tags

CCSS.8.G.B.8

If a 25-foot ladder leans against a building and the foot of the ladder is 7 feet from the base of the building, how far up the building does the ladder reach?

• 576 ft

• 24 ft

• 4.2 ft

• 18 ft

Tags

CCSS.8.G.B.8

A 40-foot pole has a wire from the top to a point 9 feet from the base. How long is the wire?

• 1519 ft

• 31 ft

• 1681 ft

• 41 ft

Tags

CCSS.8.G.B.8

Find the height of an equilateral triangle whose side is 10 inches. Round to the nearest inch.

• 75 in

• 10 in

• 9 in

• 5 in

Tags

CCSS.HSG.CO.C.11

The dimensions of the right triangle shown above are given in feet. What is the length of the hypotenuse of the triangle, in feet?

• $\sqrt{11}$

• 7

• $\sqrt{65}$

• 11

• 65

Tags

CCSS.8.G.B.7

In the right triangle EFG shown below, H is halfway between point E and point G. To the nearest tenth, how long is EH?

• 6.5

• 7.5

• 13

• 84.5

• 169

Tags

CCSS.HSG.GPE.B.6

In the triangle above, which of the following is an expression for b in terms of a?

• $6+a$

• $\sqrt{a^2+6}$

• $\sqrt{a^2+12}$

• $\sqrt{a^2-36}$

• $\sqrt{a^2+36}$

Tags

CCSS.8.G.B.7

The legs of a right triangle measure 10 feet and 24 feet. What is the length of the hypotenuse, in feet?

• 27

• 26

• 34

• $\sqrt{1,644}$

• 48

A bicycle ramp, shown above, measures 25 feet long and is 7 feet off the ground at its highest point. How many feet long is the base of the ramp?

• 18

• 24

• 48

•  $\sqrt{18}$  

•  $\sqrt{674}$  

A train leaves a station heading east. After traveling 33 miles east, the train travels 56 miles south. How far is the train from the station?

• 33

• 56

• 65

• 72

• 89