This is homework (forgive me) but I don’t want an answer I would just like to know what I am doing wrong.(adsbygoogle = window.adsbygoogle || []).push({});

Here is the problem:

Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 3cm and 4cm if tow dies of the rectangle lie along the legs.

Here is what I did

L = length of rectangle

W = width

Theta = angle 4 leg of the right triangle

I’m trying to optimize W*L where :

W < 3

L < 4

These are the equations I got:

Tan(theta) = w/(4-L)

Tan(theta) = (3-W)/L

Tan(theta) = 3/4

W = [itex] 3(4-L)/4 [/itex]

so:

{3 - 3(4-L)/4}/ L = 3/4

and that is as far as this brain will take me...

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# I'm haveing optimization problems

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