Question

prove that the median to the hypotenuse of a right -angled triangle is half of the hypotenuse

Answer 1

in the figure, both ab and bc are diagonals of a square acbd in which cdb is our triangle. as we can see the ab and bc are equal and are prependicular. it tells us that the lines intersect at their half and ab's half is the median of our triangle. so the median is the half of the hypotenuse. *

*the picture is not uploading -- it is a figure of a square with it's diagonals