Question

Find the length of the third side. If necessary, write in simplest radical form.2v3

Answer 1

4

Step-by-step explanation:

The third side is the hypotenuse of the right triangle with legs 2 and 2√3.

By the Pythagorean theorem, the hypotenuse is equal to

`\begin{gathered} \text{hypotenuse = }\sqrt[]{2^2+(2\sqrt[]{3})^2} \\ \text{hypotenuse}=\sqrt[]{4+4(3)} \\ \text{hypotenuse}=\sqrt[]{4+12} \\ \text{hypotenuse}=\sqrt[]{16} \\ \text{hypotenuse}=4 \end{gathered}`

Therefore, the length of the third side is 4.