Question

Two equal sides of an isosceles triangle are given by the equations 7x - y +3 = 0 and x + y - 3 = 0 and its third side passes through the point (1, -10). Determine the equation of the third side.

Answer 1

The equation of any line passing through (1, - 10) is y + 10 = m(x - 1).

Since, it makes equal angles, say θ, with the given lines, therefore