Question

For the following right triangle, a= 6, b=4. Find the length of c. I don't understand

Answer 1

`c=2\sqrt{13`

Explanation:

In a right triangle, to find the hypotenuse (c) you use Pythagoras theorem. Which is
`a^2+b^2=c^2`. Once we plug in our variables we get
`6^2+4^2=c^2`, then we solve.

`36+16=c^2`

`52=c^2`

`√(c^2) =√(52)`

`c=√(52)`

If we simplify...

`c=2√(13)`