Question

find the length of the third side. if necessary, write in simplest radical form. answer attempt 1 out of 2

Explanation:

Step1: Apply Pythagorean theorem

Let the unknown side be $c$. For a right triangle, $c^2 = a^2 + b^2$, where $a=2$, $b=\sqrt{5}$.
$$c^2 = 2^2 + (\sqrt{5})^2$$

Step2: Calculate squared terms

Compute each squared value and sum them.
$$c^2 = 4 + 5 = 9$$

Step3: Solve for $c$

Take the square root of both sides.
$$c = \sqrt{9} = 3$$

Answer:

3