Question

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

Step1: Apply Pythagorean theorem

For right triangle, $c^2 = a^2 + b^2$, where $a=7$, $b=9$, $c$ is hypotenuse.

Step2: Calculate sum of squares

$$c^2 = 7^2 + 9^2 = 49 + 81 = 130$$

Step3: Solve for hypotenuse

$$c = \sqrt{130}$$

Answer:

$\sqrt{130}$