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In δ Def, Line Pq || Side Ef, If Dp = 2.4,Pe = 7.2, Pq = 1 Then Find Qf. - Geometry Mathematics 2

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Question

In Δ DEF, line PQ || side EF, If DP = 2.4,
PE = 7.2, DQ = 1 then find QF.

Sum

Solution

In Δ DEF,
line PQ || side EF

∴ `("DP")/("PE") = ("DQ")/("QF")`  (∵ Basic proportionality Theoram)

∴ `2.4/7.2= 1/("QF")`

∴ `"QF" xx 2.4 = 7.2`

∴ QF = `7.2/2.4`

∴ QF = 3

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