## Online Course Discussion Forum

### Winter camp 2018 blue geometry

Winter camp 2018 blue geometry

for question 2, e be the midpoint of BC in ABCD, G the intersection of AE and BD, if area of BEG is 1, find area of ABCD

Re: Winter camp 2018 blue geometry

Note $\triangle BGE\sim \triangle DGA$ and the ratio of their sides is $1:2$ (why?) . Use this to find $[ABE]$ in terms of $[BGE]$. Since $B$ is a midpoint, you can also find $[ABE]$ in terms of $[ABCD]$. Combining these two, you can find $[ABCD]$ in terms of $[BGE]$.

The correct answer is $12$.

Re: Winter camp 2018 blue geometry

Thank you. Got it now. :)