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# Challenge 3, no. 8 - DS question

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Manager
Joined: 27 Sep 2006
Posts: 70

Kudos [?]: 4 [0], given: 0

Challenge 3, no. 8 - DS question [#permalink]

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22 Nov 2006, 17:10
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Challenge 3, no. 8

Can't understand solution to this problem - help please?

ab, bc, ac represent sides of a triangle ABC. is the triangle an equilateral triangle?
1. ab=1
2. bc+ac=2

It is obvious that either of the statements is not enough by itself to answer the question.
Take the two sets together
Possible triangles with sides:
1/1/1 - equilateral
1/0.9/1.1 is not equilateral
1/0.8/1.2 is not equilateral
1/0.7/1.3 is not equilateral
1/0.6/1.4 is not equilateral

Kudos [?]: 4 [0], given: 0

Director
Joined: 12 Jun 2006
Posts: 532

Kudos [?]: 162 [0], given: 1

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22 Nov 2006, 17:19
Quote:
Challenge 3, no. 8

Can't understand solution to this problem - help please?

ab, bc, ac represent sides of a triangle ABC. is the triangle an equilateral triangle?
1. ab=1
2. bc+ac=2

It is obvious that either of the statements is not enough by itself to answer the question.
Take the two sets together
Possible triangles with sides:
1/1/1 - equilateral
1/0.9/1.1 is not equilateral
1/0.8/1.2 is not equilateral
1/0.7/1.3 is not equilateral
1/0.6/1.4 is not equilateral

You answered your own question. The fact that you've listed 5 possible outcomes when both statements are taken together illustrates that there is no definitive answer to this prob. You'd need more info than what's available - hence E

Kudos [?]: 162 [0], given: 1

Manager
Joined: 27 Sep 2006
Posts: 70

Kudos [?]: 4 [0], given: 0

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22 Nov 2006, 19:35
What are the 5 outcomes - I don't understand the notation.

triangle 1 is obviously - each side = 1
but the rest?

thanks!

Kudos [?]: 4 [0], given: 0

VP
Joined: 25 Jun 2006
Posts: 1161

Kudos [?]: 190 [0], given: 0

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22 Nov 2006, 20:14
consider this case:

all three sides are 1: equilateral.

and

three sides: ab = 1
bc = 0.7, ac = 1.3.
it is a triangle, but not equilateral.

so E.

Kudos [?]: 190 [0], given: 0

22 Nov 2006, 20:14
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