# Thread: Triangle area problem

1. ## Triangle area problem

It is known that the AD and GD are equally trisected (i.e. AB=BC=CD and DE=EF=FG) and the area of triangle ADG is 1cm2. What is the area of the quadrilateral CDEH? With many thx!!!

What is H?

3. ## Re: Triangle area problem

Hello, tsuialex!

Obviously, we can't see your diagram.

It is known that the AD and GD are equally trisected (i.e. AB = BC = CD and DE = EF = FG)
and the area of triangle ADG is 1 cm2. .What is the area of the quadrilateral CDEH?
I have the same question: where is H?

Code:
```               D
o
*  *
*     *
C o  -  -  o E
*  *     *  *
*     *  *     *
B o  -  -  ♥  -  -  o F
*  *     *H *     *  *
*     *  *     *  *     *
A o  *  *  *  *  *  *  *  *  o G```
Assuming H is the central point indicated above,
. . we note that $\Delta ADG$ is divided into 9 congruent triangles.

Therefore . . .