maths-circles(1)

2011-01-06 12:25 am

圖片參考:http://img440.imageshack.us/img440/6899/43586964.jpg

In the figure, chords AC and BD intersect at E. It is given that CE=8, BE=6, DE=12Prove that ⊿BEC~⊿AED.

回答 (1)

2011-01-06 12:42 am
✔ 最佳答案
∠CEB = ∠DEA (Vert. opp. ∠s)

∠ECB = ∠EDA and ∠EBC = ∠EAD (∠s in the same segnemt)

Thus △BEC ~ △AED with x/6 = 12/8

So x = 9
參考: 原創答案


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