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In Figures, Find the Length Cf. - Mathematics

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Question

In figures, find the length CF.

Sum
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Solution

BD = AF
BD = 10 cm

In Δ BCD, we have
tan 30° = `"CD"/"BD"`

`1/sqrt3 = "CD"/10`

CD = `(10 xx sqrt3)/3` cm

CF = CD + DF = `(10 xx sqrt3)/3 + 2 cm`

= `(10 xx sqrt3 + 6)/3 cm`

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