Triangle ABC is an isosceles triangle with area P. Find The radius of the circle that passes through the points A, B , C .

Question

anonymous · Answer

Expain with steps.

hero · Answer

I'm guessing there's no pic associated with this

anonymous · Answer

Yeah. in the question paper, they have not given any picture.

hero · Answer

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anonymous · Answer

I got the figure. but I want the detailed process.

hero · Answer

You'll probably have to use coordinate geometry to figure this out

anonymous · Answer

but I don't know that process. Can u explain?

hero · Answer

I personally hate questions like these

anonymous · Answer

But what to do? They are an essentail of all maths olympiads.

hero · Answer

I'm not a math olympiad

mathmate · Answer

Are you working on analytic geometry or traditional geometry?

hero · Answer

He's gone

mathmate · Answer

Oh, it's from an olympiad, so anything goes, right?

hero · Answer

I suppose.

mathmate · Answer

Thanks Hero, I didn't notice he's away!

mathmate · Answer

There's the Olympiad formula he could use:
Area = abc/(4R)
where a,b and c are the side lengths of the triangle, and R is the radius of the circumscribed circle.

hero · Answer

You assume we have the lengths

mathmate · Answer

If we have the points, then it's just the distance formula.

hero · Answer

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Good luck finding the proper distances to substitute for a,b, and c