Question

find the length of the third side of the right triangle.
the length of the third side is
(simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Calculate the length of the third side

$c=\sqrt{10^{2}+24^{2}}=\sqrt{100 + 576}=\sqrt{676}=26$

Answer:

26