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I'm trying to use Pythagoras. Assuming $ a=b, v = 2a + c $ I tried calculating height (Vc) on c. Vc by expressing it with a & c. And then using one of the variables a or c in a function to calculate the plane area of the triangle and then looking up the extremes.

But I'm completely confused here. How can I approach solving this?

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    Does "Pitagor" mean [Pythagoras](http://en.wikipedia.org/wiki/Pythagoras)?2012-12-30
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    Yes sorry ill correct it2012-12-30
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    I'm lost: what does it mean "a triangle with biggest plane are...*and with volume one*? If it is an euclidean triangle it is plane, so what volume and of what is that??2012-12-30
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    I used translate and it tanslated to volume, what I'm looking for would be Scope ? Or combined length of all 3 sides ? I dont know how to expres this.2012-12-30
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    Perimeter? From what language are you translating?2012-12-30
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    Yes Perimeter thats it.2012-12-30
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    Also, how much inequalities do you know? Do you know calculus?2012-12-30
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    I know decent amout of inequalities, from calculus limits, derivatives.2012-12-30
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    I recommend you use the semi-perimeter (Heron's formula) for the area since you know that $s=(2a + c)/2 = 1/2$ and $A = \sqrt{s(s-a)(s-a)(s-c)}$. A few substitutions and you should have a straight forward equation to maximize.2012-12-30
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    As the height to the base in an isosceles triangle is also the median to the base, the height's length is, by Pythagoras Theorem, $$\sqrt{a^2-\left(\frac{c}{2}\right)^2}$$with a=sides' length, c= base's length2012-12-30

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