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

##### 1 Answer

Mar 19, 2018

Use Lagrange multiplier

[https://en.wikipedia.org/wiki/Lagrange_multiplier]

#### Explanation:

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

Maximaze

#(partial L)/(partial x)=0# #(partial L)/(partial y)=0# #(partial L)/(partial lambda)=0#

express