Show that the maximum area of a triangle corresponds to the triangle being equilateral.(adsbygoogle = window.adsbygoogle || []).push({});

I start by making y the height of the triangle and x a leg.

We have two formulas (for area)

A = xy/2

A = sqrt(s(s-a)(s-b)(s-x))

I'm thinking that in order to find the maximum, we must make dA/dx = 0 and show that x=a=b . Any suggestions on how to do this?

Forgive me if this is really easy, I've been out of school for some time and have forgotten alot--trying to learn again.

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# Homework Help: Maximum/triangle problem

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