Math CentralQuandaries & Queries


Question from touqeer, a student:

My question is that how can we find the height of an equilateral triangle without using pythagoras theorem?


If you know Heron's formula you can find the area two ways, once using Heron's formula and once using the familiar expression that the area is one half the base times the height. Since the two area expressions must give the same value you can set them equal to each other and solve for the height.


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