Question

Consider this right triangle with given measures.

A right triangle has side lengths 5 feet and blank. The hypotenuse is 8 feet.

What is the length of the unknown leg of the given rigth triangle?

StartRoot 3 EndRootft

StartRoot 6 EndRootft

StartRoot 39 EndRootft

StartRoot 89 EndRootft

Answer 1

`\sqrt39ft`

Explanation:

It is right on edge. 100%

Answer 2

`√(39)`

Explanation:

I think the answer choices were supposed to be:

`√(3) , √(6) , √(39) , √(89)`

Pythagorean Theorem: a²+b²=c²

5²+b²=8²

25+b²=64

Subtract 25 from both sides

b²=39

Square root both sides

b=
`√(39)`

Our answer is
`√(39)`