Problem 27

[spotula]

Hi,

I appreciate your help with the following

(1) I am not able to solve  Problem 27 in the following

 http://mymathcounts.com/Sam's-Math-Club/documents/MathcountsP02.pdf

Problem 27. As shown in the figure, ABC is a triangle with the area 1. Extend BA to D such that DA = AB. Extend CA to E such that EA = 2AC. Extend CB to F such that FB = 3BC. Find the area of triangle DEF.

Thanks

[yongcheng3315]

Thanks for asking. One solution is shown in the attached file. Good luck!