ACT Math Pythagorean Theorem

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

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

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

• $6+a$

• $\sqrt{a^2+6}$

• $\sqrt{a^2+12}$

• $\sqrt{a^2-36}$

• $\sqrt{a^2+36}$

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