In ABC, if angle 1 = angle 2, prove that AB / AC= BD/ DC
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TO FIND :
In ∆ABC, if < 1=<2, prove that
AB / AC= BD/ DC
SOLUTION:
◆Given,
<1 = <2 ; here <1 = <A <B =<2
Which means ,
◆<ABC = <ACB
Thus,
◆AB = AC .
◆Refer the attachment given below
◆AD is a perpendicular bisector of BC ,
BD = BC
◆Solving,
BD = BC
BD / DC =1
◆AB = AC .
AB/AC =1.
◆Thus,
AB/AC =BD/ BC.
Hence the solution.
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