Question

find the length of the third side. if necessary, write in simplest radical form.
√55
3

Explanation:

Step1: Apply Pythagorean theorem

Let the third side (hypotenuse) be $c$, the legs are $a=3$ and $b=\sqrt{55}$. The theorem is $c^2 = a^2 + b^2$.

Step2: Substitute values into formula

$$c^2 = 3^2 + (\sqrt{55})^2$$
$$c^2 = 9 + 55$$

Step3: Calculate and solve for $c$

$$c^2 = 64$$
$$c = \sqrt{64} = 8$$

Answer:

8