A triangle is inscribed on the quater- ellipse given by x^2 +4y^2 = 16 , x,y 0

Find the greatest possible area of such triangle

Question

A triangle is inscribed on the quater- ellipse  given by x^2 +4y^2 = 16  ,  x,y > 0

Find the greatest possible area of such triangle

anonymous · Answer

Here is my work

zepdrix · Answer

Ah poopers, did we get the wrong answer last time love? D:

tkhunny · Answer

Is there a particular orientation we are to consider?  Is therea a base of the triangle on the x-axis?  The y-axis?  Neither?

anonymous · Answer

um yes, there is a picture, wait

anonymous · Answer

no, but i still dont get it

anonymous · Answer

sorry...i just dnt get these questions..

anonymous · Answer

|dw:1351989871092:dw|

like..i thought i understand it..but how come i still got the wrong answer

turingtest · Answer

|dw:1351989984992:dw|it seems like you do want to think about where the base is, as was said ealrier

turingtest · Answer

|dw:1351990091919:dw||dw:1351990112852:dw|

tkhunny · Answer

The area, then is what?

1/2
Base
Height

Base is half the length fo the major axis.  What is that.

Height is the y-coordiante of that apex point.  What is that?

anonymous · Answer

A= 1/2 bh , is it always equal to 1/2 xy

anonymous · Answer

I know how to do this quesiton, but i feel like i need to understand the concept better other than just memorizing how to do it ><

zepdrix · Answer

Ok sorry about that, I setup the problem assuming it was a right triangle when we had originally done it, that was bad apparently ^^ heh

anonymous · Answer

ohh ok, so it doesnt have to be a right angle triangle

anonymous · Answer

ok, then i get it now thanks. I was wondering why is it right angle triangle..

turingtest · Answer

I think the largest triangle is going to be a right triangle anyway