Question

E and F are points on the sides PQ and PR respectively of ∆PQR ,

PE = 2cm and EQ = 4 cm , PF = 1cm and FR = 2cm , then state whether

EF || QR​

Answer 1

Answer:

hey here is your solution

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pls refer the reference diagram

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Step-by-step explanation:

so basically in this question

we have to prove ef parallel to qr by

converse of basic proportionality theorem

so then accordingly

pe/eq=pf/fr

ie 2/4=1/2

ie 1/2=1/2

hence our lhs=rhs

so thus ef parallel to qr because when the ratios of two constituent side of particular side in a triangle is equal to other then the lines are parallel by converse of bpt