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.

Let A(6,7),B(2,3) and C(-2,1) be vertices of a triangle.The point P in the interior of Delta ABC such that Delta PBC is an equilateral triangle is (A)(-sqrt(3),2+2sqrt(3))(B)(-sqrt(3),2-2sqrt(3))(C)(sqrt(3),2-2sqrt(3))(D)(sqrt(3),2+2sqrt(3))

Let A(5,6), B(-2,3) and C(6,-1) be the vertices of Delta ABC . Find the coordinates of the centroid of the triangle.

Points A(3,5) , B (-1,4) and C( 7,-6) are the vertices of Delta ABC. Find the coordinates of the centroid of the triangle

If A (2,7) ,B (-6,1) and C (-5,8) are the vertices of a triangle, then find the co-ordinates of circumcentre of that triangle .

(a,b),(c,d),(e,f) are the vertices of an equilateral triangle.Then the orthocenter of the triangle is

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 P be a point in the interior of equilateral triangle ABC such that PA=3,PB=4 and PC=5 then find a.