Question : A point $p$ lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its:
Option 1: Centroid
Option 2: Incentre
Option 3: Orthocentre
Option 4: Circumcentre
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Correct Answer: Circumcentre
Solution :
Given:
A point $p$ lying inside a triangle is equidistant from the vertices of the triangle.
So, $p$ is called the circumcentre of the triangle.
Since with $p$ as a center, a circle can be drawn, which passes through the three vertices of the triangle and it is known as a circumcircle.
Hence, the correct answer is 'Circumcentre'.
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