Find the area of `Delta ABC` with vertices A(0, -1), B(2, 1) and C(0, 3). Also, find the area of the triangle formed by joining the midpoints of its sides.
Show that the ratio of the areas of two triangles is 4:1.
We have to prove that
`Delta le (1)/(4) sqrt((a + b + c)abc)`
or `Delta le (1)/(4) sqrt(2 s abc)`
or `Delta^(2) le (1)/(16) 2s abc`
or `Delta^(2) le (1)/(16)...