Question

find the missing leg. your answer should be written as a number.

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a$ and $b$ are the legs. Here, if the legs are 10 and 24, and we want to find the hypotenuse $x$. Then $x=\sqrt{10^{2}+24^{2}}$.

Step2: Calculate squares

$10^{2}=100$ and $24^{2}=576$. So $x = \sqrt{100 + 576}$.

Step3: Add values inside square - root

$100+576 = 676$. Then $x=\sqrt{676}$.

Step4: Find square - root

$\sqrt{676}=26$.

Answer:

26