If C is the midpoint of the segment AB and P is the mid point of the AC.Show thatCP=1\4AB

Asked by M.s.srinidhi21 | 13th Aug, 2014, 10:17: PM

Expert Answer:

 
G i v e n C space i s space m i d p o i n t space o f space A B. space S o space A C equals C B space o r space A B equals 2 A C equals 2 C B  G i v e n P space i s space t h e space m i d p o i n t space o f space A C. space S o space A P equals P C space o r space space A C equals 2 A P equals 2 P C  F r o m space a b o v e space t w o space e q u a t i o n s comma space w e space h a v e  A B equals 2 A C space a n d space A C equals 2 C P  C o m b i n i n g space b o t h space o f space t h e m space g i v e s A B equals 2 open parentheses 2 C P close parentheses equals 4 C P  rightwards double arrow C P equals fraction numerator A B over denominator 4 end fraction

Answered by Dharma Teja | 14th Aug, 2014, 08:24: AM

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