Question

(Please help/ hurry) Find the length of the third side, If necessary, write in simplest radical form

Answer 1

Answer:

The length of the third side is 2.

Explanation:

According to figure, we have a right triangle. The missing length can be determined by Pythagorean Theorem:

$r^{2} = s^{2} + l^{2}$ (1)

Where:

$r$ - Hypotenuse.

$s$, $l$ - Legs.

If we know that $r = 2\sqrt{5}$ and $l = 4$, then the missing length is:

$s = \sqrt{r^{2}-l^{2}}$ (2)

$s = \sqrt{20-16}$

$s = \sqrt{4}$

$s = 2$

The length of the third side is 2.