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Method to calculate in area of a triangle with given sides, given area, and given length
I am given the area $A$ of a triangle, the side lengths of a triangle $a$, $b$, and $c$ and I am given the length $l$. How would I calculate $a$, $b$, $c$, given $A$, $l$, and $a+b+c$? I know the formula for a triangle, but I do not know how to use it.
A:
You already know the area $A$ of the triangle.
If you know $l$, then you know $a+b+c$. So you can calculate $a+b$ and $b+c$.
Then you can calculate $a+c$ and $c+a$. Since $a+b+c=2a+b+c$, you know $a$.
Do the same for $b$ and $c$.
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