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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Question : The point equidistant from the vertices of a triangle is called its:
Question : The point where all three medians of a triangle meet is called:
Question : The orthocentre of a triangle lies on one of the sides. Then:
Question : In a $\triangle ABC$, AD, BE and CF are the medians from vertices A, B, and C, respectively. The point of intersection of AD, BE and CF is called
Question : 'O' is the circumcentre of triangle ABC lying inside the triangle, then $\angle$OBC + $\angle$BAC is equal to:
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