Question

The area of a triangle is 5 sq.units. Two of its vertices are (2, 1) and (3, -2). The third Vertex is (x, y) where y = x + 3. Find the coordinates of the third vertex.

Answer 1

Area of triangle formed by points (x₁, y₁), (x₂, y₂) and (x₃, y₃) = (1/2) {(x₁y₂ + x₂y₃ + x₃y₁) - (x₂y₁ + x₃y₂ + (x₁y₃)}

y = 7/2 + 3 

y = 13/2 

(x,y) = (7/2, 13/2)