Question

The vertices of a triangle are A(–2, 2), B(9, 0), and C(1, –4). If the triangle is a right triangle, which vertex is the right angle?

Answer 1

First calculate the distances AB, BC and AC using the following distance formula:



if AB is the largest side, that is , HYPOTENUSE, then C will be the right angle.
if AC is the largest side, that is , HYPOTENUSE, then B will be the right angle.
if BC is the largest side, that is , HYPOTENUSE, then A will be the right angle.