Question

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: Apply Pythagorean theorem

Let the two given sides be $a = 9$ and $b=12$. The Pythagorean theorem for a right - triangle is $c^{2}=a^{2}+b^{2}$, where $c$ is the hypotenuse.
$c^{2}=9^{2}+12^{2}$

Step2: Calculate squares

$9^{2}=81$ and $12^{2}=144$. So $c^{2}=81 + 144$.
$c^{2}=225$

Step3: Find the square - root

$c=\sqrt{225}$
$c = 15$

Answer:

15