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Length of a triangle

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Re: Length of a triangle

by Morgoth » Sun Aug 16, 2009 3:08 am
Question BC=?

AD = BC, let angle ABD = y


x+y = 2x [external triangle theorem]

y = 2x-x = x

y=x

if y=x, then AD=BD.

AD= BD and BC=BD, therefore AD=BC

Statement I

AD=6, therefore BC=6

Sufficient.

Statement II

x=36, we cannot find the side just by knowing the angle.

Insufficient.

Hence A.

Hope this helps.
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