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E and F are points on the sides PQ and PR respectively of a ΔPQR. For each of the following cases, state whether EF || QR.(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.63 cm Q.2(3)

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How i solve the math question of class 10th of exercise 6.2 of triangles chapter. This is very important question so how i solve it E and F are points on the sides PQ and PR respectively of a ΔPQR. For each of the following cases, state whether EF || QR.(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.63 cm

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  1. Given, PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm

    From the figure,

    EQ = PQ – PE = 1.28 – 0.18 = 1.10 cm

    And, FR = PR – PF = 2.56 – 0.36 = 2.20 cm

    So, PE/EQ = 0.18/1.10 = 18/110 = 9/55…………. (i)

    And, PE/FR = 0.36/2.20 = 36/220 = 9/55………… (ii)

    So, we get here,

    PE/EQ = PF/FR

    Hence, EF is parallel to QR.

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