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

##### This topic has expert replies
Legendary Member
Posts: 823
Joined: 01 Mar 2018
Followed by:2 members

### 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
Posts: 24
Joined: 29 Jun 2011

### 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.