Find the circumcentre of triangle ABC if `A (7, 4), B (3, -2)` and `angle C = (pi)/(3)`.

Find the orthocentre of Delta ABC if A-= (0, 0), B -= (3, 5) and C -= (4, 7) .

Find the co-ordinates of the point of intersection of the medians of triangle ABC, given A = (-2, 3), B = (6, 7) and C = (4,1).

Find the circumcentre of the triangle whose vertices are (-2, -3), (-1, 0) and (7, -6). Also find the radius of the circumircle.

The circumcentre of the triangle ABC is O . Prove that angle OBC+angle BAC=90^@ .

Find the orthocentre of the triangle ABC whose angular points are A(1,2),B(2,3) and C(4,3)

ABC is a triangle and G (4, 3) is the centroid of the triangle. If A = (1, 3), B = (4, b) and C = (a, 1), find 'a' and 'b'. Find the length of side BC.

Find the circumcentre of the triangle whose vertices are (-2,\ -3),\ (-1,\ 0),\ (7,\ -6) .

Find the interior angle of the triangle whose vertics are A(4, 3), B(-2, 2) and C(2, -8)

If origin is the centroid of a triangle ABC having vertices A(a,1,3), B(-2,b,-5) and C(4,7, c) , then the values of a, b, c are

In a triangles ABC , angle A = x^(@) , angle B = (3x - 2) ^(@) and angle C = y^(@) , " Also " ,angle C - angle B = 9^(@) Find all the three angles of the Delta ABC .