Question

find the length of the third side. if necessary, write in simplest radical form. 9 √19 answer attempt 1 out of 4 submit answer

Explanation:

Step1: Identify Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c$ is hypotenuse, $a=\sqrt{19}$, $b=9$, solve for $c$.

Step2: Substitute values into formula

$$c^2 = (\sqrt{19})^2 + 9^2$$

Step3: Calculate each term

$$c^2 = 19 + 81$$

Step4: Sum and simplify radical

$$c^2 = 100 \implies c = \sqrt{100} = 10$$

Answer:

10