is a right-angled triangle and is the mid-point of the side opposite to the right angle. Explain why is equidistant from and
Explaining why is equidistant from and :
Construction: Draw two lines and such that and
Since, is a rectangle.
Opposite sides are parallel and equal to each other and all the interior angles are right angles.
The property of rectangle states that the diagonals are of equal length and bisect each other.
Hence,
Therefore , is equidistant from and