Triangle

Geometry Level 5

Let the area of a triangle ABC be $$\bigtriangleup$$ . Points $$A_{1} , B_{1}$$ and $$C_{1}$$ are the mid points of the sides BC , CA and AB respectively .

Point $$A_{2}$$ is the mid point of $$CA_{1}.$$ Lines $$C_{1}A_{1}$$ and $$AA_{2}$$ meet the median $$BB_{1}$$ at points E and D respectively.

If $$\bigtriangleup_{1}$$ be the area of the quadrilateral $$A_{1}A_{2}DE$$, then

$$\frac{\bigtriangleup_{1}}{\bigtriangleup} = \frac{a}{b}$$

$$\mathbb{ a+ b= ?}$$

$$a, b \to N$$

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