The chapter of Triangles of class 10th math of exercise 6.2 , how i solve this problem. It is very important. Yesterday i was doing this question but i was not able to do this question In the figure, DE||OQ and DF||OR, show that EF||QR.

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Given,

In Î”PQO, DE || OQ

So by using Basic Proportionality Theorem,

PD/DO = PE/EQâ€¦â€¦â€¦â€¦â€¦â€¦

..(i)Again given, in Î”POR, DF || OR,

So by using Basic Proportionality Theorem,

PD/DO = PF/FRâ€¦â€¦â€¦â€¦â€¦â€¦â€¦

(ii)From equationÂ

(i)Â andÂ(ii), we get,PE/EQ = PF/FR

Therefore, by converse of Basic Proportionality Theorem,

EFÂ ||Â QR, in Î”PQR.