Show that the perpendicular bisectors of...

Show that the perpendicular bisectors of the sides of the triangle with vertices `(7, 2), (5, -2) and (-1, 0)` are concurrent. Also find the coordinates of the point of concurrence (circumcentre).

Similar Questions

Explore conceptually related problems

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

Find the circumcentre of the triangle whose vertices are (2, 2), (4, 2) and (0, 4).

Find the coordinates of the circumcentre of the triangle whose vertices are (5, 7), (6, 6) and (2, -2)

Find the direction cosines of the sides of the triangle whose vertices are (3, 5, 4) , ( 1, 1, 2) and ( 5, 5, 2) .

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

Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.

Find the circumcentre and circumradius of the triangle whose vertices are (-2, 3), (2, -1) and (4, 0) .

Find the circumcentre and circumradius of the triangle whose vertices are (-2, 3), (2, -1) and (4, 0).

Find the coordinates of the circumcentre of the triangle whose vertices are (3,\ 0),\ (-1,\ -6) and (4,\ -1) . Also, find its circumradius.

Find the co-ordinates of the circumcentre of a triangle whose vertices are (7,5) , (6,6) and (-2,2) .