Question

# Question 2 (ii) E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF || QR. (ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

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Solution

## In ΔPQR, E and F are two points on the sides PQ and PR respectively. (ii) PE = 4 cm, QE = 4.5 cm, PF = 8cm, RF = 9cm ∴PEQE=44.5=4045=89 [By using Basic proportionality theorem] And,PFRF=89 So, PEQE=PFRF Hence, EF is parallel to QR.

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