" et C the dhe centresid of the triangle with vertives "0,-1),(1,3)" and "(2,4)" .Let "P" be "

Let C be the centroid of the triangle with vertices (3, -1) (1, 3) and ( 2, 4). Let P be the point of intersection of the lines x+3y-1=0 and 3x-y+1=0 . Then the line passing through the points C and P also passes through the point :

Let C be the entroid of the triangle with vertices (3, -1) and ( 2, 4). Let P be the point of intersection of the lines x+3y-1=0 and 3x-y+1=0 . Then the line passing through the points C and P also passes through the poing :

If p_1p_2,p_3 are the lengths of altitudes of a triangle from the vertices A, B, C and Delta the area fo the triangle the 1/p_1 + 1/p_2 - 1/p_3 =

Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) Find the area of the triangle ABC.

Let A(0,-1),B(0,3)andC(2,1) be three points Let Delta_(1) be the area of the triangle ABC and Delta_(2) be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A,B and C such that (Delta_(1))/(Delta_(2))=(1)/(x) Find the value of x.

Let A(-3,2) and B(-2,1) be the vertices of a triangle ABC. If the centroid of this triangle 1 ies on the line 3x+4y+2=0 then the vertex C lies on the line :

If p_(1),p_(2),p_(3) are the altitues of a triangle from the vertieces A,B,C and Delta is the area of the triangle then prove that (1)/(p_(1))+(1)/(p_(2))-(1)/(p_(3))=(2ab)/((a+b+c)Delta)"cos"^(2)(C)/(2)

If p_1, p_2, p_3 are the altitudes of a triangle from the vertices A, B, C and triangle , the area of the triangle, prove that : 1/p_1+1/p_2-1/p_3= (2ab)/((a+b+c)triangle) cos^2 frac (C)(2) .