Place right angle at the origin and label it A. Use coordinate that are multiple of 2 because the midpoint formula takes half the sum of the coodinates.

Given:   Right with hypotenuse . L is the midpoint of 

Prove:   L is equadistance from each of the vertices.

Proof:   Use midpoint formula to find the coordinates of midpoint L of .

             The coordinates of L are a and b.

             Now find the distance between each vertices and the point L using distance formula.

             So, mid point L is equidistance from each vertex.

Midpoint L of the hypotenus of a right triangle is equidistance from each vertex.