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# Triangle

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Triangle [#permalink]  02 Aug 2008, 19:59
Are all angles of triangle ABC smaller than 90 degrees?

1. 2AB = 3BC = 4AC
2. AC^2 + AB^2 > BC^2
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Re: Triangle [#permalink]  02 Aug 2008, 20:14
guessing A
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Re: Triangle [#permalink]  02 Aug 2008, 20:20
gmatnub wrote:
guessing A

I have the answer. Can you please explain why A and how?
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Re: Triangle [#permalink]  02 Aug 2008, 20:27
1
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aaron22197 wrote:
Are all angles of triangle ABC smaller than 90 degrees?

1. 2AB = 3BC = 4AC
2. AC^2 + AB^2 > BC^2

statement 1 : 2AB = 3BC = 4AC
--> AB/6 = BC/4 = AC/3 = k (say)
AB = 6k
BC = 4k
AC = 3k

we can deteremine the shape of the triangle ..... and hence can answer the question

Statement 2: tells that angle A is less than 90, but no information about angle B and C ... so insuff
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Re: Triangle [#permalink]  02 Aug 2008, 20:48
durgesh79 wrote:
aaron22197 wrote:
Are all angles of triangle ABC smaller than 90 degrees?

1. 2AB = 3BC = 4AC
2. AC^2 + AB^2 > BC^2

statement 1 : 2AB = 3BC = 4AC
--> AB/6 = BC/4 = AC/3 = k (say)
AB = 6k
BC = 4k
AC = 3k

we can deteremine the shape of the triangle ..... and hence can answer the question

Statement 2: tells that angle A is less than 90, but no information about angle B and C ... so insuff

Good one
IMO A
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Re: Triangle   [#permalink] 02 Aug 2008, 20:48
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# Triangle

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