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GMAT Prep - Geometry Triangles

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by sudhir3127 » Mon Jul 14, 2008 10:53 pm
Is the OA E . sq root 3.?
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by BlueRain » Mon Jul 14, 2008 10:55 pm
OA should be B.
Will explain if I were correct.
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by ksh » Mon Jul 14, 2008 11:04 pm
when a triangle is inscribed in a cirle with diameter of the circle as one of the sides of the triangle, it will be a right angled triangle.


given that radius=1. so, diameter=2
one side=1

so by pythagorous, height of the triangle=sqrt3

and hence, area=sqrt3/2 which is B.
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by sudhir3127 » Mon Jul 14, 2008 11:50 pm
if you use pythogorous theorem to find the hypoteneuse AB..

then my understanding is

AB^2 = BC^2 + AC^2
= 2^2+1^2= Sq root 5 and not not sq root 3.
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by BlueRain » Mon Jul 14, 2008 11:54 pm
sudhir3127 wrote:if you use pythogorous theorem to find the hypoteneuse AB..

then my understanding is

AB^2 = BC^2 + AC^2
= 2^2+1^2= Sq root 5 and not not sq root 3.
The hypotenuse is AC, the right angle is at ABC, thus AC^2 = AB^2 + BC^2.
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by sudhir3127 » Tue Jul 15, 2008 12:29 am
yeah .. got it .. thanks a lot...
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by crackgmat007 » Mon Jun 08, 2009 6:29 pm
Have a clarification - what are the angle measures of such triangle - is it 90:30:60?
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by tohellandback » Mon Jun 08, 2009 7:42 pm
Crackgmat,
you can't tell the angle measurements here.
it is a right triangle for sure but the other two angles can be anything.
Of course given some other conditions you might find the angles.

Thanks
The powers of two are bloody impolite!!
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by rajasiddarth » Mon Jun 08, 2009 10:57 pm
Hello tohellandback,

The angle formation is 30, 60 and 90.

If a right angled triangle has sides in the ratio of 1, sqrt3 and 2, we can say that the angles are of 30 60 and 90 respectively.

For 1, 1 and sqrt2 right angled traingles, angles formed are 45, 45 and 90
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by tohellandback » Mon Jun 08, 2009 11:05 pm
raja,
I think I mistook crackgmat's question. I thought he was asking about the triangle shown in the circle. You can't say what shape it can take unless you have Other information.

Thanks
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by crackgmat007 » Tue Jun 09, 2009 9:43 pm
my question is more generic -- if one of the sides of a right triangle is the diameter, what are the angel measures? is it always 30 60 90? or varies?

(this question is not related to the problem in the topic)
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by tohellandback » Tue Jun 09, 2009 9:45 pm
yes crackgmat,
thats what I am saying.
You can't tell unless you have other conditions.

thanks
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