Answer
the triangle is a right triangle with the hypotenuse $c=26$.
Work Step by Step
For a right triangle with legs $a$, $b$ and the hypotenuse $c$, the Pythagorean theorem states that:
$$c^2=a^2+b^2.$$
We plug in the side lengths to check if the triangle is right:
$$
\sqrt{10^2+24^2}=\sqrt{676}=26
.$$
This statement is true, so the triangle is right with $c=26$.
