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Are all angles of triangle ABC smaller than 90 degrees? 1.

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Are all angles of triangle ABC smaller than 90 degrees? 1. [#permalink] New post 22 Sep 2009, 11:09
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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: m17 4 [#permalink] New post 22 Sep 2009, 13:08
Economist wrote:
Are all angles of triangle ABC smaller than 90 degrees?

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


1) say AB=6 then BC will be 4 and AC will be 3. This is very similar to 3,4,5 triangle. But the long side is longer than that triangle. So angle ACB is greater than 90.
SUFF.

2) Insuff. say AC=11, AB=6 and BC=8. angle ABC is greater than 90 degrees. But AC=8, AB=8 and BC= 8. All the angles are 60 degrees. ;)

A
Re: m17 4   [#permalink] 22 Sep 2009, 13:08
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Are all angles of triangle ABC smaller than 90 degrees? 1.

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