Does The Median Of A Triangle Divides It Into Two Congruent Triangles. Its the height of the triangle. Hence BD DC.
Hence AD is the median of ABC and it bisects the side BC into two halves where BD BC. Thus by the Side-Side-Side triangle congruence postulate. We can come up with a conjecture and say that the median of a triangle divides the triangle into two triangles with equal areas.
Thus by the Side-Side-Side triangle congruence postulate.
So Ive got an arbitrary triangle here well call it triangle ABC and what I want to do is look at the midpoints of each of the sides of ABC so this is the midpoint of one of the sides of side BC lets call that point D lets call this midpoint E and lets call this midpoint right over here F and since its the midpoint we know that the distance between BD is equal to the distance from D to C. Area of ΔADC. Feb 16 2020 A median of a triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side. To show that this is always true we can write a short proof.
