Q4 of 184 Page 10

A median of a triangle divides it into two triangles of equal area. Verify this result for ABC whose vertices are A(1, 2), B(2, 5), C(3, 1).

Given a triangle whose vertices A(1, 2), B(2, 5), C(3, 1)


Let AD is the median on side BC



D will be the mid-point of segment BC. Therefore,


Coordinate of D





Area of triangle


Then,


Area of triangle ABD




sq units


Area of triangle ACD




sq units


Hence, ∆ABD = ∆ACD


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