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

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

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23 Mar 2008, 13:38
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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

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I got this right but was not very sure about the answer/approach....
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Re: DS - A,B,C on a plane [#permalink]

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23 Mar 2008, 14:23
Expert's post
E

AB=14, BC=14, AC=0.000000001: AB<15
AB=1400, BC=1400, AC=0.000000001: AB>15
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Re: DS - A,B,C on a plane [#permalink]

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23 Mar 2008, 14:36
1) is insufficient because the three point may or may not lie on a line - if forming a triangle, the answer is "no", but if they lie on a line the answer can be "yes"

2) by itself is also insufficient because there can be different shapes of triangles with area 1 leading to either "yes" or "no" answer

Combining 1 & 2 is still insifficient because of the explanation in 1). If area of triangle in 2) is 0 then the points are on one line.
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Re: DS - A,B,C on a plane   [#permalink] 23 Mar 2008, 14:36
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