The area of triangle `A B C` is `20c m^2dot` The coordinates of vertex `A` are `(-5,0)` and those of `B` are `(3,0)dot` The vertex `C` lies on the line `x-y=2` . The coordinates of `C` are
(a)`(5,3)` (b) `(-3,-5)` `(-5,-7)` (d) `(7,5)`

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A

The coordinates of two vertices of a triangle are (-2,3) and (5,-1) . If the orthocentre of the triangle is at the origin , find the coordinates of its third vertex.

The centroid of a triangle ABC is at the point (1,1,1) if the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively find the coordinates of the point C

If one vertex of an equilateral triangle of side a, lies at the origin and the other lies on the line x-sqrt3y=0 , the coordinates of the third vertex are

The area of a triangle is 5. Two of its vertices are A(2,1) and B(3,-2) . The third vertex C is on y=x+3. Find Cdot

In a triangle ABC, coordinates of A are (1,2) and the equations of the medians through B and C are x+y=5 and x=4 respectively. Find the coordinates of B and C.

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (8/5,(16)/5) (b) (7/(15),(14)/(15)) (6/5,(12)/5) (d) (4/(15),8/(15))

The vertices A and D of square A B C D lie on the positive sides of x- and y-axis , respectively. If the vertex C is the point (12 ,17) , then the coordinates of vertex B are (a) (14 ,16) (b) (15, 3) (c) 17 ,5) (d) (17 ,12)

The coordinates of the centroid of the triangle ABC are ( 1 , 1, 1) , if the coordinates of B and C are ( 1 , 1, 2) and ( -1 , 7 , -6) respectively , then find the coordiantes of the vertex A .

The coordinates of the vertices A ,B and C of the triangle ABC are (-1,3),(1,-1) and (5,1) respectively . Find the length of the median through the vertex A.