Question

Question 1
ABC is a triangle. Locate a point in the interior of $\Delta$ ABC which is equidistant from all the vertices of $\Delta$ ABC.

Answer 1

Circumcentre of a triangle is always equidistant from all the vertices of that triangle. Circumcentre is the point where perpendicular bisectors of all the sides of the triangle meet together.


In $\Delta$ABC, we can find the circumcentre by drawing the perpendicular bisectors of sides AB, BC, and CA of this triangle. O is the point where these bisectors are meeting together. Therefore, O is the point which is equidistant from all the vertices of $\Delta$ABC