Q. 9 Q5.0( 2 Votes )

# In Δ ABC, m

By Pythagoras Theorem in ΔABD,

AB2 = AD2 + BD2 ...... (1)

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.

From equation (1) and (2)

AB2 = BD.CD + BD2

AB2 = BD(CD + BD)

AB2 = BD.BC

Option (a) is correct.

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