Let `A-=(6,7),B-=(2,3)a n dC-=(-2,1)` be the vertices of a triangle. Find the point `P` in the interior of the triangle such that ` P B C` is an equilateral triangle.

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

A (4,8), B(-2,6) are two vertices of a triangle ABC. Find the coordinates of C if the centroid of the triangle is (2,7).

A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. find the equation of: the median of the triangle through A.

A (1, 4), B (3, 2) and C (7,5) are vertices of a triangle ABC. Find : the co-ordinates of the centroid of triangle ABC.

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

If A(2,2),B(-4,-4)a n dC(5,-8) are the vertices of a triangle, then the lengthof the median through vertex C is.

If A(5,2),B(2,-2)a n dC(-2, t) are the vertices of right angles triangle with /_B=90^0, then find the value of tdot

Let A (0,2 ) , B ( 3, 0 ) , C ( 6, 4 ) be the vertices of triangle and P is a point inside the triangle such that area of triangle APB, BPC and CPA are equal. Equation of circle circumscribing Delta APB is :

Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas , then the length of the line segment PQ, where Q is the point ( - ( 7 ) /(6), - ( 1 ) /(3)) , is _________.

The points A(4, 7), B(p, 3) and C(7, 3) are the vertices of a right triangle, right-angled at B, Find the values of P.