Let ABC be triangle having orthocentre and circumcentre at (9,5) and (0, 0) respectively. If the equation of side BC is 2x-y = 10, then find the possible co-ordinates of vertex A.
Question on straight lines- find the possible co-ordinates.
One additional information is needed to find the coordinates of vertex A
it could be either the length of median from A to BC or distance of circumcentre to the vertex or centroid. Pls check
Let coordinates of A be (h, k)
Circumcentre G = (0, 0) (Given)
Orthocentre = (9, 5) (Given)Equation of BC= 2 x –y = 10 Slope of line perpendicular to it is -1/2