Question

what is the longest side of a right triangle?
a right angle
b leg b
c leg a
d hypotenuse

Explanation:

In a right triangle, the hypotenuse is defined as the side opposite the right angle. By the Pythagorean theorem ($a^2 + b^2 = c^2$, where $c$ is the hypotenuse and $a,b$ are the legs) and the property that in a triangle, the longest side is opposite the largest angle. The right angle (90°) is the largest angle in a right triangle, so its opposite side (hypotenuse) is the longest. Options A is an angle, not a side. Legs A and B are the shorter sides (catheti) compared to the hypotenuse.

Answer:

D. Hypotenuse