# Solving for the area of a triangle in a quadrilateral

• August 20th 2013, 10:53 PM
Solving for the area of a triangle in a quadrilateral
Hi Guys,

I've never been good with geometry, and this one just has me stumped. I cannot find any ratios to help me solve the problem.

I will use [ ] to denote area.

We have quadrilateral ABCD, and the point E which is the intersection of the diagonals of ABCD. [AEB] = 3, [DEC] = 10, [BEC] = 2 *[AED]
Compute [AED].
• August 21st 2013, 03:36 AM
chiro
Re: Solving for the area of a triangle in a quadrilateral
The answer is $\sqrt{15}$. The attachment shows how to arrive at this. I had fun constructing an accurate drawing of the situation.