In the figure, AD intersect BE at C and AB//ED. If area of triangle AEC : area of triangle ACB = 3:2, find area of triangle AEC : area of triangle ECD.
圖片參考：http://imgcld.yimg.com/8/n/HA06579520/o/701107270152113873433770.jpg
中三-Mensuration
2011-07-28 7:04 am
回答 (1)
2011-07-28 7:27 am
✔ 最佳答案
△AEC : △ACB = 3 : 2 .....(1)==>EC : CB = 3 : 2Since △ECD ~ △BCA (A.A.A.)△ECD : △BCA = (EC : CB)² △ECD : △BCA = (3 : 2)² .....(2)(1) / (2) :(△AEC : △ACB) / (△ECD : △BCA) = (3 : 2) / (3 : 2)²△AEC : △ECD = 2 : 3
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