Ellipse and triangle problem

  • #1

Homework Statement


Points are A(-6,2) and B(-3,4) and ellipse 4x^2 + 9y^2 = 72. Point C(x,y) for which triangle ABC has largest area is?


Homework Equations


Ellipse equations


The Attempt at a Solution


I don't know even where to start. As far as i am concerned that point can be any number as long as i can construct triangle using that point.
 

Answers and Replies

  • #2
294
0
I'm assuming that point C has to on the ellipse.

They give you a side of the triangle, AB, and you need to find a third point on the ellipse that maximizes the area.

I can think of a few methods that do this, what level math are you taking?
 
  • #3
Thank you for the hint i solved the problem. I am currently reviewing pre calclus so i could move forward.
 

Related Threads on Ellipse and triangle problem

  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
17
Views
10K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
2
Views
3K
Replies
10
Views
6K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
3
Views
2K
Top