4.1(14 points) Lagrange multipliers method: Maximizing area of a triangle of fixed perimeterA formula for the area A of a triangle with edges of lengths a,b, and c isA=[s(s-a)(s-b)(s-c)]12wheres=abc2(a)[4] To check whether the formula works. Consider a right angle triangle of edges a,b and c of which you definitely know what the area is. Apply the formula and show that A comes out as what one would expect.1(b)[10] For a fixed value of the perimeter abc=L= constant, use the method of Lagrange multipliers to determine the shape of a triangle that has the maximum