If you are looking at a triangle where the orthocenter, the centroid and the circumcenter lie at the same point, what type of triangle are you looking at?
A
Equilateral triangle
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B
Right-angled triangle
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C
Isosceles triangle
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D
Scalene triangle
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Solution
The correct option is A Equilateral triangle
In an equilateral triangle the orthocenter, circumcenter and the centroid lie on the same point. It is a property of the equilateral triangle.