sierrab16 sierrab16
  • 15-05-2017
  • Mathematics
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Points B,D,F are midpoints of the sides of triangleACE , EC=30 and DF =17 Find Ac

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mreijepatmat
mreijepatmat mreijepatmat
  • 15-05-2017
Triangle AEC & FED are similar:

F & D being the middle of AE & CE, ==> FD IS // AC &
Angle EAC =EFD (CORRESPONDING ANGLE & SAME FOR ECA=EDF,

Hence we can write propriety  of similar triangle:

CE/CD = AC/FD (CE = 30 & CD=ED =15 & FD = 17)

Then 30/15 = AC/17 ==> AC=34
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