Let ABC be a triangle with `A(-1,-5)`, B(0,0) and C(2,2) and let D be the middle point of BC Find the equation of the perpendicular drawn from B to Ad

If the coordinates of the points A,B,C be (-1,5),(0,0) and (2,2) respectively, and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of the perpandicular from A on BC. Find the coodinates of D.

For the triangle ABC whose vertices are A (-2, 3), B (4, - 3) and C (6, 5), find the equation of : the perpendicular bisector of the side BC.

Let ABC be a triangle and A -= (1,2) ,y = x be the perpendicular bisector of AB and x-2y+1=0 be the perpendicular bisector of angle C . If the equation of BC is given by ax+by-5 = 0 then the value of a -2b is

Given vertices A (1, 1), B (4, -2) and C (5, 5) of a triangle, find the equation of the perpendicular dropped from C to the interior bisector of the angle A.

Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the area of triangle ABC.

Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangleABC . The equation of altitude through B to side AC is

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Area of the triangle(ABC) (in sq. units) is

In the fig. ABC in an equilateral triangle with points B(-2,0) and C(2,0) find the coordinates of A.

In the triangle ABC with vertices A (2, 3), B (4,-1) and C (1, 2), find the equation and length of altitude from the vertex A.