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E and F are points on the sides PQ and PR, respectively, of a ΔPQR. For the following case, state whether EF || QR: PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm - Mathematics

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प्रश्न

E and F are points on the sides PQ and PR, respectively, of a ΔPQR. For the following case, state whether EF || QR:

PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

योग

उत्तर

PE = 4 cm, QE = 4.5 cm, PF = 8 cm, RF = 9 cm

`("PE")/("EQ") = 4/4.5 = 40/45 = 8/9`

`("PF")/("FR") = 8/9`

`("PF")/("FR")=("PE")/("EQ")`

Therefore, EF is parallel to QR.

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अध्याय 6: Triangles - Exercise 6.2 [पृष्ठ १२८]

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एनसीईआरटी Mathematics [English] Class 10
अध्याय 6 Triangles
Exercise 6.2 | Q 2.2 | पृष्ठ १२८

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