The coordinates of A, B and C are (3,4), (-4,3) and (8,-6) respectively , Find the area of the `DeltaABC` and also find the perpendicular distance of BC from the vertex A.

The vertices A,B and C of DeltaABC have coordinates (-3,-2),(2,-2) and (6,1) respectively . Find the area of the DeltaABC and the length of the perpendicular from A on overline(BC) .

The coordinates of the vertices A, B and C of a triangle ABC are (0,5), (-1,-2) and (11,7) respectively . Find the coordinates of the foot of the perpendicular from B on AC.

A, B, C, D are consecutive vertices of a parallelogram. If the coordinates of A, B and C are (0, 0, 0), (3, -4, 4) and (7, 1, 4) respectively, find using direction ratios the coordinates of the vertex D.

the point A,B,C have respective coordinates (3,4),(-4,3) and (8,-6) . Find the area of DeltaABC and the length of the perpendicular from A on overline(BC) .

The coordinates of the points A and B are (3,4) and (5,-2) respectively , if overline(PA)=overline(PB) and the area of the DeltaPAB=10 square unit , find the coordinates of P.

The eccentricity of an ellipse is (2)/(3) and the coordinates of its focus and the corresponding vertex are (1,2) and (2,2) respectively. Find the equation of the ellipse . Also find the coordinate of the point of intersection of its major axis and the directrix in the same direction .

Find the perpendicular distances of the point (2,3,4) from the coordinates axes

The coordinates of the points A,B,C are (-2,1),(-1,-3) and (3,-2) respectively . Show that , AB =BC and angleABC is a right angle If D is the fourth vertex of the square ABCD , find the coordinates of D and also find the point of intersection of diagonals of ABCD.

The coordinates of A , B , C are (6,3), (-3,5) and (4,-2) respectively and P is the point (x,y) , show that , ("area of the"DeltaPBC)/("area of the" DeltaABC)=|(x+y-2)/(7)|

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.