Is the inverse theorem that the central line on the hypotenuse of a right triangle is equal to half of the hypotenuse true? How do you prove it,

Is the inverse theorem that the central line on the hypotenuse of a right triangle is equal to half of the hypotenuse true? How do you prove it,

Yes, the converse proposition is that a triangle whose center line on the hypotenuse is equal to half of the hypotenuse is a right triangle
Let the middle line of the triangle ABC and ab be ad, ad = (1 / 2) AB, and prove that C = 90
Prove: because ad = BD = CD = (1 / 2) AB, so a = angle ACD, angle B = angle bad, and a + B + C = 180 degrees, so 2 (angle a + b) = 180 degrees, so a + B = 90 degrees, so C = 90 degrees