Question

prove that a triangle divide into two equal area

Answer 1

Step-by-step explanation:

Consider triangle ABC with the mid point D on the side BC and height AE

BD = DC ( D is the midpoint of side BC) ---------------------------------------1

Now consider triangle ABD 

Area of triangle ABD = 1/2 * base * height

                                  = 1/2 * BD * AE ------------------------------------------2

Consider triangle BDC

Area of triangle BDC = 1/2 *base * height

                                  = 1/2 * DC * AE ------------------------------------------3

From 1, 2 and 3 we come to know that,

 Area of triangle ABD = Area of triangle DBC

Therefore a median divides a triangle into two triangles of equal area.