Let `O(0,0),P(3,4)` , and `Q(6,0)` be the vertices of triangle `OPQ`. Find the point R inside the triangle `OPQ` such that the triangles `OPR, PQR,OQR` are of equal areas.

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (4/3,3) (b) (3,2/3) (3,4/3) (d) (4/3,2/3)

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are a. (4/3,3) b. (3,2/3) c. (3,4/3) d. (4/3,2/3)

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:

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 _________.

O (0, 0), A (3, 5) and B (-5, -3) are the vertices of triangle OAB. Find : the equation of median of triangle OAB through vertex O.

P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of triangle PQR. Write down the equation of the median of the triangle through R.

If the vertices of a triangle are (u,0),(v,8), and (0,0) then the area of the triiangle is

If the point (0,0),(2,2sqrt(3)), and (p,q) are the vertices of an equilateral triangle, then (p ,q) is

Let P(e^(itheta_1)), Q(e^(itheta_2)) and R(e^(itheta_3)) be the vertices of a triangle PQR in the Argand Plane. Theorthocenter of the triangle PQR is