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Question
Which of these triangles have the circumcentre and incentre at the same point?
Which of these triangles have the circumcentre and incentre at the same point?
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Solution
The correct option is B Equilateral Triangle
A circle passing through all the three vertices of the triangle is called circumcircle.Centre of circumcircle of the triangle is called Circumcentre.
Incentre is the point of intersection of the internal bisectors of any two angles of the triangle.
For an equilateral traingle ,circumcentre and incentre lie at the same point.
For an scalene traingle ,circumcentre and incentre lie at different point.
Equilateral Triangle
A circle passing through all the three vertices of the triangle is called circumcircle.Centre of circumcircle of the triangle is called Circumcentre.
Incentre is the point of intersection of the internal bisectors of any two angles of the triangle.
For an equilateral traingle ,circumcentre and incentre lie at the same point.
For an scalene traingle ,circumcentre and incentre lie at different point.
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