SOLUTION: God bless you and hope you will clear my frustration to this nagging and seemingly wrong formula. We have a triangle with sides a, b and c with c as base, which is divided into two
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Question 393628: God bless you and hope you will clear my frustration to this nagging and seemingly wrong formula. We have a triangle with sides a, b and c with c as base, which is divided into two parts in r to s ratio, by altitude denoted by h. I.e. side a is hypoteneuse to r and side b to s. Is there a formula which runs as, h = [a * s + b * r] / r + s. Many engineers vehemently declared the wrongness of the formula
You can put this solution on YOUR website! No, there is no such formula. A counterexample would suffice.
Let h = 1, r = 3, and s = 2.
==> c = r + s = 5.
Then , and . Then , to 2 decimal places. But obviously this is not equal to h = 1.