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In a triangle, all of its four special points are coincident. The triangle is1. right-angled triangle2. equilateral triangle3. isosceles triangle4. None of the above

Answer» Correct Answer - Option 2 : equilateral triangle

Concept

For an equilateral triangle, all the four points (circumcenter, incenter, orthocenter and centroid) coincide.

Orthocenter : The orthocenter is the point of intersection of the three heights of a triangle.

Centroid : The centroid is the point of intersection of the three medians.

Circumcenter : The circumcenter is the point of intersection of the three perpendicular bisectors.

Incenter : The incenter is the point of intersection of the three angle bisectors.

 



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