Question

Question 6
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

The two right triangles $△ABC$ and $△ACD$ make a rectangle ABCD.

AC and BD are diagonals of the rectangle, so they are equal in length, and also bisect each other.

So, O is the equidistant from A, B, C and D.