In the given figure, x equals(a) \(\frac{ab}{a+c}\)(b) \(\frac{ac}{a – InterviewSolution

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1.

In the given figure, x equals(a) \(\frac{ab}{a+c}\)(b) \(\frac{ac}{a+b}\)(c) \(\frac{ac}{b+c}\)(d) \(\frac{ab}{b+c}\)

Answer»

(c) \(\frac{ac}{b+c}\)

In Δs LMK and ONK,

∠KML = ∠ONK = 46°

∠K = ∠K (Common)

∴ ΔLMK ~ ΔONK (AA similarity)

⇒ \(\frac{KM}{KN}=\frac{LM}{ON}⇒\frac{b+c}{c} =\frac{a}{x}⇒x=\frac{ac}{b+c}\).

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