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

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

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- September 14th 2010, 09:15 PMMATNTRNGTriangle Area
Prove that the area of triangle ABC is given by the formula:

Area of triangle ABC = 1/2 * AB * AC **sin*(angle BAC) - September 14th 2010, 09:31 PMEducatedCode:
`b *`

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a*----------------*c

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.