In Δ ABC, m∠A = 90,
is an altitude. Therefore BD.DC = ……

As we know that,
If an altitude is drawn to hypotenuse of a right angled triangle, then the length of altitude is the geometric mean of lengths of segments of hypotenuse formed by the altitude.
⇒ AD2 = BD.DC
∴ Option (d) is correct.
Couldn't generate an explanation.
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