What is the area of triangle OAB if the line y-2=0 intersects the pair of lines x^2 -7xy +2y^2 =0 at A and B? O is the origin.

Answer 1

Solving the system. the three points are (0, 0), ((21 - 3√41)/2, 2), and ((21 + 3√41)/2, 2)

Use the distance formula to determine lengths of each side.

Use Heron's formula to determine the area.