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Step-by-step explanation:
i) ADB ~ ABC ( right triangle theorem)
AB/BC=BD/AB ( Sides are propotional in similar triangles)
BY CROSS MULTIPLICATION we get..
Ab square=BC.BD
hence proved..
ii) ABC ~ ADC( right triangle theorem)
AC/BC = DC/AC ( Sides are propotional in similar triangles)
BY CROSS MULTIPLICATION we get
AC square = BC. BD
Hence proved..
iii) ADC ~ ABD ( right triangle thm)
AD/BD= CD/AD (sides are propotional in similar triangles)
BY CROSS MULTIPLICATION WE get
AD square=BD × CD
hence proved..
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