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.(the dotted lines are drawn additionally to help you).​

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.

Answer 2

two Right angles are made one rectangle .the O is mid point of diagonals of rectangle. the length of diagonals of rectangle are equal . therefore O is equidistant from A ,B and C.