Question

A median of a triangle divides it into two triangles of equal areas. Verify this result for ∆ABC whose vertices are A(4, – 6), B(3, –2) and C(5, 2).

Answer 1

Since AD is the median of ΔABC, therefore, D is the mid-point of BC.

Since area is a measure, it cannot be negative.

Hence, the median divides it into two triangles of equal areas.