Question

In a right triangle ABC, if D is the mid-point of the hypotenuse BC, prove That BD=DC=AD

Answer 1

if D is the midpoint then that's obvious that BD=DC and acc to the diagram if u have have we see that line AD is bisecting lineBC and therefore line AD is angle bisector of angle BAC and in triangle DAC we see that angle DAC =45 degrees and similarly u can prove that angle DCA =45 degrees and by converse of isosceles triangle theorom line DC=AD and therefore AD=BC=DC