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DS - Geometry

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DS - Geometry

by f2001290 » Mon Jun 04, 2007 11:13 am
The sides of a triangle is a, b, and c. Are the three angles all less than 90 measure degrees?

1). The areas of the semi-circles with the radius a, b, c are 4, 5, 6, respectively.
2). c<a+b<c+2

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Source: — Data Sufficiency |
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by gmat doctor » Mon Jun 04, 2007 1:56 pm
IMO A

stat 1 gives us values of a^2,b^2,c^2
c^2=a^2+b^2 (RIGHT ANGLE triangle)
c^2> a^2+b^2 ( obtuse angle)

here c^2 < a^2+b^2 So acute angle

stat 1 sufficient

stat 2 in sufficient
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by singhpreet1 » Fri Jun 11, 2010 8:40 pm
should be A, only a can answer the question. a+b+c= 180, or 180/ 4+5+6= 180/15= 12, a=48, b=60, c= 72....so A is sufficient. i cannot comprehend the data from St. 2 to arrive at the answer.
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