Question

Find the exact length of the third side

Answer 1

Answer:

The length of the third side is 34.

Step-by-step explanation:

We use the Pythagorean theorem which says that for a right triangle with sides $a$ and $b$, the hypotenuse $c$ is given by the equation:

$a^2+b^2=c^2$

In our case

$a=16\\b=30$

So we have:

$c^2=16^2+30^2=1156$

$\boxed{c=\sqrt{1156} =34}$

Which is the third side: the hypotenuse.