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

Answer:

$\sqrt{39}$

Step-by-step explanation:

I think the answer choices were supposed to be:

$\sqrt{3} , \sqrt{6} , \sqrt{39} , \sqrt{89}$

Pythagorean Theorem: a²+b²=c²

5²+b²=8²

25+b²=64

Subtract 25 from both sides

b²=39

Square root both sides

b=$\sqrt{39}$

Our answer is $\sqrt{39}$

Answer 2

Answer:

$\sqrt{39}$

Step-by-step explanation:

just did it :)