CBSE Class 9 Answered
ABCD is trapezium in which AB||DC. E is the
mid-point AD. If F is a point on side BC such that segment EF is parallel to
side DC, Show that EF = (AB +
CD)
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
In ADC, E is the mid-point of AD and EG||DC
AG = GC
EG = DC ….(i) (Mid-point theorem)
Similarly in ABC, BF = FC
GF = AB …(ii) (Mid-point theorem)
Adding (i) and (ii)
EG + GF = DC + AB
EF = (AB + DC)
Answered by | 04 Jun, 2014, 03:23: PM
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