f.4 mathematics

2008-01-26 11:09 pm
http://i8.photobucket.com/albums/a25/cla_yu/qu.jpg

In the figure, AB // DC. If the areas of ∆ABE and ∆CDE are 25 and 16 respectively.
Find the area of ∆ABC.

a. 34
b. 36
c. 41
ⓓ.45

please explain the answer....

回答 (1)

2008-01-26 11:30 pm
✔ 最佳答案

圖片參考:http://i8.photobucket.com/albums/a25/cla_yu/qu.jpg

In the figure, AB // DC. If the areas of ∆ABE and ∆CDE are 25 and 16 respectively.
Find the area of ∆ABC.

a. 34
b. 36
c. 41
ⓓ.45

∆ABE ~ ∆CDE
AE/EC=5/4
AE/AC=5/9
∆ABC和 ∆AEC同高
故∆ABC的面質=(9/5)*25=45
答案是D

2008-01-26 15:31:09 補充:
∆ABC和 ∆AEB同高


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