Maximize the area of the rectangle that can be inscribed in a triangle with base 4 and height 3? Assume its isoceles..

Question

amistre64 · Answer

lagrange multipliers are useful for this, but i cant recall them in detail at the moment

anonymous · Answer

Well there is a  solution using single variable calculus.

amistre64 · Answer

one idea i gots is when the area of the trianlge is halved, we have an equilibrium point

amistre64 · Answer

4*3 - 12/2 = 6

when the area of the rectangle is 3; we are at the most that we can take in and the rest just makes our rectangle smaller in area

amistre64 · Answer

2 by 1.5 is my guess

anonymous · Answer

amistre64 · Answer

mines wrong .. i did a right triangle by mistake

anonymous · Answer

For your problem the equations are 

$ A = 2xy $

and $ 4x + 3y = 12 $

anonymous · Answer

Now substitute x, or y and differentiate w.r.t to y or x.

amistre64 · Answer

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