Question

Derivarion of Heron formula

Answer 1

Step-by-step explanation:

Step-by-step explanation:We have

Step-by-step explanation:We haveso, for future reference,

Step-by-step explanation:We haveso, for future reference, 2s = a + b + c

Step-by-step explanation:We haveso, for future reference, 2s = a + b + c 2(s - a) = - a + b + c

Step-by-step explanation:We haveso, for future reference, 2s = a + b + c 2(s - a) = - a + b + c 2(s - b) = a - b + c

Step-by-step explanation:We haveso, for future reference, 2s = a + b + c 2(s - a) = - a + b + c 2(s - b) = a - b + c 2(s - c) = a + b - c

Step-by-step explanation:We haveso, for future reference, 2s = a + b + c 2(s - a) = - a + b + c 2(s - b) = a - b + c 2(s - c) = a + b - cThere is at least one side of our triangle for which the altitude lies "inside" the triangle. For convenience make that the side of length c. It will not make any difference, just simpler.

Step-by-step explanation:We haveso, for future reference, 2s = a + b + c 2(s - a) = - a + b + c 2(s - b) = a - b + c 2(s - c) = a + b - cThere is at least one side of our triangle for which the altitude lies "inside" the triangle. For convenience make that the side of length c. It will not make any difference, just simpler.Let p + q = c as indicated. Then