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In triangle \(ABC\) above, is \(AC\) greater than \(4?\)

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Source: — Data Sufficiency |
Junior | Next Rank: 30 Posts
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Re: In triangle \(ABC\) above, is \(AC\) greater than \(4?\)

by psarma » Thu Sep 24, 2020 3:45 pm

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B

C

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\(\angle bac\) + \(\angle abc\) = \(\angle bcd\)
Thus, \(\angle abc\) = 2y i.e 2 \(\angle bac\)

Option 1 gives the length of side BC, which is 4
As \(\angle abc\) = 2 \(\angle bac\) , hence the side opposite \(\angle abc\) should be greater than side opposite \(\angle bac\) .

A is thus sufficient.

Option 2 doesnt give the length of any side or any other useful information, Not sufficient.

Answer is A.
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