Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, the Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs and $c$ is the hypotenuse. Here, $a = 10$ in and $b = 24$ in. So, $c^{2}=10^{2}+24^{2}$.

Step2: Calculate the squares

$10^{2}=100$ and $24^{2}=576$. Then $c^{2}=100 + 576=676$.

Step3: Find the value of $c$

Take the square root of both sides. $c=\sqrt{676}=26$ in.

Answer:

26 inches