Question

Find the exact length of the third side.

Answer 1

4.47

Explanation:

Using Pythagorean's theorem, we know that
`a^(2)` +
`b^(2)` =
`c^(2)`.

`c^(2)` is the hypotenuse which is what we are trying to figure out.

`a^(2)` and
`b^(2)` are the measurements of the legs.

`4^(2)`+
`2^(2)` =
`c^(2)`

`4^(2)`= 16

`2^(2)`=4

16 + 4 = 20

20 =
`c^(2)`

`√(20)` =
`\sqrt{c^(2) }`

2
`√(5)` = 4.47

Answer: 4.47

Answer 2

Explanation:

Hello there!

Use the Pythagoream theorem:

`a^(2) +b^(2) =c^(2) \\4^2+2^2=c^2\\16+4=20\\x=√(20) \\x=4.472135`

:)