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ΔABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcenter and AB = 3 cms, BC = 4 cms. The value of BD is

A. 3 cms

B. 4 cms

C. 2.5 cms

D. 5.5 cms

Answer: Option C

Solution (By Examveda Team)

Geometry mcq question image
AC $$ = \sqrt {{3^2} + {4^2}} = \sqrt {9 + 16} $$
AC = 5
∵ D is circumcenter, it is equidistant from all the center
So AD = CD = BD = $$\frac{5}{2}$$ = 2.5 cm

This Question Belongs to Arithmetic Ability >> Geometry

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