Question

find the length of the third side. if necessary, round to the nearest tenth.
answer attempt 1 out of 2
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Explanation:

Step1: Identify Pythagorean theorem

For right triangle: $c^2 = a^2 + b^2$, where $c$ is hypotenuse, $a,b$ are legs.

Step2: Assign values to variables

Let $a=9$, $b=13$, solve for $c$.

Step3: Calculate sum of squared legs

$9^2 + 13^2 = 81 + 169 = 250$

Step4: Compute square root of sum

$c = \sqrt{250} \approx 15.8$

Answer:

15.8