perimemter of triangle

2009-11-15 12:30 am
Given that triangle ABC's perimeter is one. D,E,F is in the middle of AB,AC,CA. Find the perimeter of triange EDF.


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回答 (1)

2009-11-15 12:55 am
✔ 最佳答案
Given that triangle ABC's perimeter is one. D,E,F is in the middle of AB,AC,CA. Find the perimeter of triange EDF
D,E,F is in the middle of AB,AC,CA (Given)
DE = 1/2 BC MID-POINT THEOREM
EF = 1/2 AB MID-POINT THEOREM
DF = 1/2 AC MID-POINT THEOREM
DE + EF + DF = 1/2 (BC+AB+AC) = 1/2 x 1= 1/2
therefore the perimeter of triange EDF = 1/2


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