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Mathematics

The three vertices of a scalene triangle are always equidistant from a fixed point. The point is :

  1. Orthocenter of the triangle

  2. Incenter of the triangle

  3. Circumcenter of the triangle

  4. Centroid of the triangle

Section Formula

ICSE Sp 2024

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Answer

Let ABC be the triangle and O is the circumcenter of triangle.

The three vertices of a scalene triangle are always equidistant from a fixed point. The point is : ICSE 2024 Maths Specimen Solved Question Paper.

Circumcenter is the center of circle which passes through all vertices of triangle.

∴ OA = OB = OC (Radius of circle)

Hence, Option 3 is the correct option.

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