Q. 54.6( 166 Votes )
To Prove: EF ll QR
Given: In triangle POQ, DE parallel to OQ
In triangle POQ, DE parallel to OQ
Basic Proportionality Theorem: If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.
(Basic proportionality theorem) (i)
(Basic proportionality theorem) (ii)
From (i) and (ii), we get
EF is parallel to QR (Converse of basic proportionality theorem)Hence, Proved.
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