Draw CK//GH and BL//GH ( K on AB and L on DC extended) In triangle ACK , since E is the midpoint of AC => G is the midpoint of AK and GK=a Similarly we also have H is the midpoint of LD and HL=d Apply Thales theorem for 3 parallel lines BL, KC and GH we have a/c=b/d => a.d=b.c
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ReplyDeleteDraw CK//GH and BL//GH ( K on AB and L on DC extended)
In triangle ACK , since E is the midpoint of AC => G is the midpoint of AK and GK=a
Similarly we also have H is the midpoint of LD and HL=d
Apply Thales theorem for 3 parallel lines BL, KC and GH we have a/c=b/d => a.d=b.c