Now given 3 sides Ha, Hb and Hc. We have to calculate the area A.
If three sides are a, b and c we can have -
Now from 1 and 2, we can get
From (4) and (5)
So there will be a k, for which
If the angles are A, B and C. We know that -
So,
Now, from sin rule
From (7) and (9) we get
We know Ha, Hb, Hc, and k, so we can calculate the exact value of a, b and c. So we can calculate the area of triangle by the following formula -
While discussing my solution with Nafi, he gave me a much smarter solution, Here it is
Area
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