Question #N700

A triangle has vertices at the points $A(0, 0)$, $B(6, 0)$, and $C(3, 4)$. What is the area of triangle $ABC$?
A. 12
B. 18
C. 24
D. 36

Correct Answer is: A

Triangle $ABC$ is a right triangle with base $AB = 6$ and height $BC = 4$. The area of a triangle is given by $(1/2)bh$, so the area of triangle $ABC$ is $(1/2)(6)(4) = 12$.