# How do you find the area of the largest isosceles triangle having a perimeter of 18 meters?

How do you find the area of the largest isosceles triangle having a perimeter of 18 meters?
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Using the wikipwdia notation:
f(x,y)-function that you want to maximize (area of the triangle)
g(x,y)- function that is your "bond" (perimeter) written in equation form g(x,y)=0
$L\left(x,y,\lambda \right)=f\left(x,y\right)-\lambda \cdot g\left(x,y\right)$
Maximaze $L\left(x,y,\lambda \right)$:
1. $\frac{\partial L}{\partial x}=0$
2. $\frac{\partial L}{\partial y}=0$
3. $\frac{\partial L}{\partial \lambda }=0$
express $x,y\phantom{\rule{1ex}{0ex}}\text{or}\phantom{\rule{1ex}{0ex}}\lambda$ end put it in the 3. equation