## In triangle $$ABC$$ above, is $$AC$$ greater than $$4?$$

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### In triangle $$ABC$$ above, is $$AC$$ greater than $$4?$$

by Gmat_mission » Thu Sep 24, 2020 2:22 am

00:00

A

B

C

D

E

## Global Stats In triangle $$ABC$$ above, is $$AC$$ greater than $$4?$$

(1) $$BC = 4$$
(2) $$y = 40$$

Source: Princeton Review

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

00:00

A

B

C

D

E

## Global Stats

$$\angle bac$$ + $$\angle abc$$ = $$\angle bcd$$
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.