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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 = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 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 = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm

योग

उत्तर

Given that PE = 3.9 cm,

EQ = 3 cm,

PF = 3.6 cm, 

FR = 2.4 cm

`("PE")/("EQ")=(3.9)/3`

`39/30 = 13/10`

`("PF")/("FR") = 3.6/2.4 `

`13/10 != 3.6/2.4 ` 

Hence, `("PE")/("EQ") != ("PF")/("FR")`

Therefore, EF is not 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 2.1 | पृष्ठ १२८

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