Conjecture The midpoint M of the hypotenuse of right triangle ∆ABC is equidistant from the...

Conjecture The midpoint M of the hypotenuse of right triangle ∆ABC is equidistant from the vertices A, B, and C. Conduct a drawing experiment either to support or to deny this claim. What did you find? (For further analysis, draw the perpendicular from M to side ; what kind of triangle is ∆MAC?)