Answer
The triangle is a right triangle with a hypotenuse of $26$ units.
Work Step by Step
A right triangle has three sides that satisfy the equation
$c^2=a^2+b^2$
where $c$ is the longest side (hypotenuse) and $a$ and $b$ are the two other sides.
Substitute the given lengths of sides to the equation above to obtain:
$c^2=a^2+b^2
\\26^2=10^2+24^2
\\676=100+576
\\676=676$
The triangle's side lengths satisfy the equation; therefore the triangle is a right triangle with a hypotenuse of $26$ units.
