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In △ABC
∠ADB = ∠ADC [Each equal to 90°] and, ∠EBY = ∠DAC
[Each equal to complement of ∠BAD i.e., 90° - ∠BAD \right]
Therefore, by AA-criterion of similarity, we have
△DBA ~ △DAC
[∠D > ∠D, ∠DBA > ∠DAC and ∠BAD > ∠DCA]
DB/DA= DA/DC
BD/AD=AD/DC
AD² = BD x DC
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