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Home » E and F are points on the sides PQ and PR respectively of a ∆PQR. For each of the following cases, state whether EF || QR: of a ∆PQR. For each of the following cases, state whether EF || QR:PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm.
E and F are points on the sides PQ and PR respectively of a ∆PQR. For each of the following cases, state whether EF || QR: of a ∆PQR. For each of the following cases, state whether EF || QR:PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm.
CBSE | Class 10 | maths | Maths | ML Aggarwal | Similarity
E and F are points on the sides PQ and PR respectively of a ∆PQR. For each of the following cases, state whether EF || QR: of a ∆PQR. For each of the following cases, state whether EF || QR:PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm.

Solution:-

From the dimensions given in the question,

Consider the ∆PQR

So, PQ/PE = 1.28/0.18

= 128/18

= 64/9

Then, PR/PF = 2.56/0.36

= 256/36

= 64/9

By comparing both the results,

64/9 = 64/9

Therefore, PQ/PE = PR/PF

So, EF is parallel to QR.

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