in figure 6.20 De parallel to OQ and DF parallel toOR show that EF parallel to QR
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solution=>
∆PQR s ED || QO
.°. PD/DO = PE/EQ ( from formula )-------(1)
∆POR s DF || OR
.°. PD/DO = PF/FR ( from formula )........(2)
from (1) and (2) we get
PE/EQ = PF/FR
.°. EF || QR
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Answer:
In triangle PQA, DE parallel to AQ.
.°. PE / EQ = PD / DA ...(1) (by basic property theorem)
In triangle PRA, DF parallel to AR.
.°. PD / DA = PF / FR ...(2) (by basic property theorem)
.From (1) and (2), we get
PE / EQ = PF / FR
Thus, in triangle PQR, PE / EQ = PF / FR
EF parallel to QR
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