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Three circles of equal radii all intersect at a single point as shown in figure, which of the following must be true?

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Three circles of equal radii all intersect at a single point P. Let the other intersections be A, B and C. Which of the following must be true?

a) P is the incentre of Triangle ABC
b) P is the circumcentre of Triangle ABC
c) P is the centroid of Triangle ABC
d) P is the orthocenter of Triangle ABC

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posted May 1, 2016 by anonymous

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2 Answers

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In the figure, three circles of equal radia intersect at a single point P and other intersections are A, B, & C which formed equilateral triangle ABC.
In a equilateral triangle the incentre, Circumcentre , Centroid and Orthocentre coincide.
So a, b, c & d are all true.

answer May 1, 2016 by Jaikumar Bhatia
0 votes

All the given statements are true as it is an equilateral triangle.

answer May 2, 2016 by Naveen Chopra



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