Answer 1

We know area of triangle formed by three points (x₁y₁) , (x₂y₂), and (x₃y₃)is given by `triangle=1/2 [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]`

The vertices are given as (6, 3), (−3, 5), (4, −2).

`triangle=1/2[6(5+2)-3(-2-3)+4(3-5)]`

`=1/2 [6xx7-3xx(-5)+4xx(-2)]`

`=1/2[42+15-8]`

`49/2 `sq units