Question

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

Answer 1

The length of the third side is 2.

Step-by-step 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√(5)` and
`l = 4`, then the missing length is:

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

`s = √(20-16)`

`s = √(4)`

`s = 2`

The length of the third side is 2.