Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = inches

Explanation:

Step1: Apply Pythagorean theorem

$a = 5$, $b=7$, and the Pythagorean theorem is $c^{2}=a^{2}+b^{2}$. So $c^{2}=5^{2}+7^{2}$.

Step2: Calculate squares

$5^{2}=25$ and $7^{2} = 49$. Then $c^{2}=25 + 49=74$.

Step3: Find c

$c=\sqrt{74}\approx 8.6$.

Answer:

$8.6$