circular triangle

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ahmedulkavi
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circular triangle

Unread post by ahmedulkavi » Mon Apr 25, 2011 9:21 am

A scalane triangle is drawn in a circle.The three points A,B,C are in the circumpherance.If the three sides of the
triangle are 3,4,5.What is the radius of that circle?Explain it.

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*Mahi*
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Re: circular triangle

Unread post by *Mahi* » Wed Apr 27, 2011 1:58 pm

Hint:
1.What is the biggest angle of the triangle?
2.What is the position of it's opposite side?
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kamallohia
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Re: circular triangle

Unread post by kamallohia » Mon May 30, 2011 5:49 pm

Hi ahmedulkavi

It is simply 2.5
3-4-5 is a right angle triangle and in a right angle triangle, mid-point of hypotenuse is equidistant from all the three vertices. That means if you draw a circle by taking mid-point of hypotenuse as center then it'll pass through all the three vertices of the triangle.

Hope this is clear.
Kamal Lohia

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