# Math Help - Triangle Area

1. ## Triangle Area

Prove that the area of triangle ABC is given by the formula:

Area of triangle ABC = 1/2 * AB * AC * sin(angle BAC)

2. Code:
        b *
/|\
/ |  \
/  |h   \
/   |      \
/    |        \
a*----------------*c
(First time using this code to draw diagrams)

Lets use this triangle as an example.

h = height

Area of a triangle = 1/2 * base * height

Base = length AC
Height = length AB * sin (angle BAC)

Therefore area of triangle = 1/2 * AC * AB * sin(angle BAC)

I had to prove this when I was learning trigonometry as well.