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If a triangle has its orthocenter and centroid at the same point, then which of the following is TRUE about the triangle?

  1. A
    Right angled
  2. B
    Equilateral
  3. C
    Scalene
  4. D
    Obtuse angled

Solution & Step-by-step Explanation

In any triangle, the four fundamental centers (Centroid, Incenter, Circumcenter, and Orthocenter) coincide at the exact same point if and only if the triangle is equilateral.Therefore, if the orthocenter and centroid are at the same position, the triangle must be equilateral.

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If a triangle has its orthocenter and centroid at the same point, then which of the following is TRUE about the triangle?
A
Right angled
B
Equilateral
C
Scalene
D
Obtuse angled

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