Answer
Right triangle.
Hypotenuse is $26$.
Work Step by Step
The given sidelengths form a right triangle if they satisfy the Pythagorean Theorem formula $c^2=a^2+b^2$ where $c$ is the longest side (hypotenuses).
Substitute all the values into the formula:
$(26)^2=(10)^2+(24)^2$
$676=100+576$
$676=676$
Both sides are equal.
Hence, this is a right triangle.
Hypotenuse is the longest side.
Hence, the hypotenuse is $26$.