[Math] Using Tan to find the area of a triangle

areatrianglestrigonometry

I have come across a question that I can't seem to figure out.

If tanA = 3/4, find the area of the given triangle without using a calculator

The given triangle is an scalene triangle with a side of 8cm and 7cm with angle A in between both sides.

I am not really too sure how to do this without a calculator. Normally, I would have followed through with absinC. I think I may be going in the wrong direction though. I am at a loss for what to do with this question.

Any help would be appreciated to steer me in the right direction.

Best Answer

HINT

I would say, if $\tan \alpha = \frac{3}{4}$ then $\sin \alpha = \frac{3}{5}$

It simply find from a right triangle with sides 3, 4, 5.

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