Question

ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C.

Answer 1

Since, two right triangles make a rectangle where O is equidistant point from A, B, C and D because O is the mid-point of the two diagonals of a rectangle.
Since, AC and BD are equal diagonals and intersect at mid-point.
So, O is the equidistant from A, B, C and D.