I could use some help please. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral triangle of side length L if one side of the rectangle lies on the base of the triangle. List the dimensions in non-decreasing order (your answer may depend on L).

Question

anonymous · Answer

So like this?|dw:1386670769597:dw|

anonymous · Answer

it never came with a picture, your guess is better than mine

anonymous · Answer

Ok I shall proceed

anonymous · Answer

okay thanks

anonymous · Answer

I'l be using Paint and figuring things out for a bit if you wanted to go do other things

anonymous · Answer

oh okay

anonymous · Answer

OK I'm back and decided to solve the problem using logic not math

anonymous · Answer

Should hopefully not confuse you

anonymous · Answer

|dw:1386671651158:dw|
I've split the triangle in half (because if the area of half the rectangle is max, so will the whole rectangle)
We have areas A, B and C.