Statement 1 : Let the vertices of a ` A B C` be `A(-5,-2),B(7,6),` and `C(5,-4)` . Then the coordinates of the circumcenter are `(1,2)dot` Statement 2 : In a right-angled triangle, the midpoint of the hypotenuse is the circumcenter of the triangle.

The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

The vertices of a triangle are (A(-1,-7),B(5,1), and C(1,4)dot The equation of the bisector of /_A B C is____

Find the area of a right angled triangle with base B C=7\ c m and hypotenuse A C=25\ c mdot

Statement 1 : If the vertices of a triangle are having rational coordinates, then its centroid, circumcenter, and orthocentre are rational. Statement 2 : In any triangle, orthocentre, centroid,and circumcenter are collinear, and the centroid divides the line joining the orthocentre and circumcenter in the ratio 2:1.

The vertices of a triangle are A(1, 3, 2), B(2, -1, 3) and C(-1, 4, 2). Find the angle A.

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), and C(5,2)

The vertices of a triangle are A (-2, 1), B (6, -2) and C (4, 3) . Find the equation of the altitudes of the triangle.

Find the angles of a triangle whose vertices are A(0,-1,-2),B(3,1,4) and C (5,7,1).

The vertices of a triangle are A(1,1),\ B(4,5)a n d\ C(6, 13)dot Find Cos\ Adot