In the figure, BM and DN are both perpendicular to
AC and BM=DN . prove that AC bisects BD
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see ∆DNR and ∆BMR
DN = BM (given)
angle NRD = angle BRM (opposite angles)
angle DNR = angle BMR = 90° (given perpendiculars)
so, ∆DNR and ∆BMR are congurent
Therefore, AC = BD
Hence proved that AC bisects BD..
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Hope it helps you..
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