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Question: In which triangle the incenter and circumcenter coincide?


A ) isosceles triangle
B ) isosceles right triangle
C ) right triangle
D ) equilateral triangle

Steps to derive

1 The perpendicular bisector of a triangle intersect at a point, called the circumcenter, that is equidistant from the vertices of the triangle.

2 The angular bisector of a triangle intersect at a point, called the incenter, that is equidistant from the sides of the triangle.

3 In an equilateral triangle, incenter and circumcenter coincide with each other.



Hence the right answer is Option D

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