Question

If the coordinates of the midpoints of the sides of a triangle are p(1, 1), Q (2, -3) and R (3, 4). Find
vertices of triangle also find sides of triangle.​

Answer 1

If the equation of sides are

2x+y=4

x+y=5 and

3x+2y=6.

Let's take the 1st and 2nd equation . Solving for x and y we get the point(-1,6). Similarly 2nd and 3rd equation and 1st and 3rd equation we get the points (-4,9) and (2,0) respectively. Solving in this manner we can obtain the co-ordinates of the vertices of a triangle.