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What is the circumradius of a right angle triangle if its sides are in

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What is the circumradius of a right angle triangle if its sides are in  [#permalink]

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New post 31 Mar 2019, 09:57
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What is the circumradius of a right angle triangle if its sides are integer numbers.

a) If one of the sides is 6 and hypotenuse is 10.

b) If one of the sides is 6 and the area is 24.
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Re: Geomertry problem  [#permalink]

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New post 31 Mar 2019, 10:02
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rohan789 wrote:
What is the circumradius of a right angle triangle if its sides are integer numbers.

a) If one of the sides is 6 and hypotenuse is 10.

b) If one of the sides is 6 and the area is 24.


"circumradius"???
:)
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What is the circumradius of a right angle triangle if its sides are in  [#permalink]

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New post Updated on: 31 Mar 2019, 10:41
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Circumradius:

The circumradius of a regular polygon or triangle is the radius of the circumcircle, which is the circle that passes through all the vertices.

Originally posted by rohan789 on 31 Mar 2019, 10:15.
Last edited by rohan789 on 31 Mar 2019, 10:41, edited 2 times in total.
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Re: What is the circumradius of a right angle triangle if its sides are in  [#permalink]

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New post 31 Mar 2019, 10:33
rohan789 wrote:
What is the circumradius of a right angle triangle if its sides are integer numbers.

a) If one of the sides is 6 and hypotenuse is 10.

b) If one of the sides is 6 and the area is 24.


rohan789
whats the source of this question
although meaning of circumradius is clear but how is the center of such a figure be determined is not clear
also the given options are both providing same info its a 6:8:10 right angles triangle no wonder option D is given as correct..
how will center of such a figure is detemined? is it that the hypotenuse passes through center?
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Re: What is the circumradius of a right angle triangle if its sides are in  [#permalink]

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New post 31 Mar 2019, 10:39
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For any right-angled triangle, the circumradius is half of its hypotenuse.

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Re: What is the circumradius of a right angle triangle if its sides are in  [#permalink]

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New post 31 Mar 2019, 10:53
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rohan789 wrote:
GMATPrepNow
Circumradius:

The circumradius of a regular polygon or triangle is the radius of the circumcircle, which is the circle that passes through all the vertices.


Sounds like a fancy term for "perimeter"
If the GMAT were to ask for the circumradius, I'm certain there would be some text that defines this term.

Cheers,
Brent
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Re: What is the circumradius of a right angle triangle if its sides are in   [#permalink] 31 Mar 2019, 10:53
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