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albertrahul
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GMAT Prep - Geometry Triangles
Source: Beat The GMAT — Problem Solving |
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.
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.
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.
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.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.
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
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!!
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
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
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
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
The powers of two are bloody impolite!!
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)
(this question is not related to the problem in the topic)
yes crackgmat,
thats what I am saying.
You can't tell unless you have other conditions.
thanks
thats what I am saying.
You can't tell unless you have other conditions.
thanks
The powers of two are bloody impolite!!
