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# A, B, and C are points on the plane. Is AB > 15 ? 1) BC +

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Joined: 18 Jul 2008
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A, B, and C are points on the plane. Is AB > 15 ? 1) BC + [#permalink]

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29 Nov 2008, 16:03
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A, B, and C are points on the plane. Is AB > 15 ?

1) BC + AC > 14
2) Area of triangle ABC < 1

Can someone explain 2)? Thanks
SVP
Joined: 29 Aug 2007
Posts: 2457

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29 Nov 2008, 21:38
A, B, and C are points on the plane. Is AB > 15 ?

1) BC + AC > 14
2) Area of triangle ABC < 1

Can someone explain 2)? Thanks

Should be E.

1: Suppose BC+AC = 16, BC = 8 and AC = 8, AB could have any value in between 1 and 16 excluding. so nsf
2: Area of ABC < 1, has nothing to do with the value of AB as it could have any value. Suppose AB is base with 16, AC is 8 and BC is 8, the height could range from 0< to 8. If height is 1/9, area of ABC would be <1 but AB is still >15. So NSF.

Togather also nsf. So E.
Similar concept was tested here as well: 7-t73376
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Joined: 08 Aug 2008
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30 Nov 2008, 06:06
(1) isnt suff to determine if a,b,c can be thought of as a triangle.points may be on a straight line.
(2) insuff for AB.

combine, ABC is a triangle so AB<(BC+AC) but isnt conclusive.
BC+AC cud be 17 and Ab cud be 16.
BC_AC cud be 15 and AB 14.

hence E.
Re: DS: Points   [#permalink] 30 Nov 2008, 06:06
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