Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $a = 7$, $b = 2.3$, and $c$ is the hypotenuse. So $c=\sqrt{a^{2}+b^{2}}=\sqrt{7^{2}+2.3^{2}}$.

Step2: Calculate squares

$7^{2}=49$ and $2.3^{2}=5.29$. Then $a^{2}+b^{2}=49 + 5.29=54.29$.

Step3: Calculate square root

$c=\sqrt{54.29}\approx7.4$

Answer:

$7.4$