The line joining the foot of perpendicular drawn from a point lying on the circumcircle. Of a triangle to the sides of a triangle is a straight line.

The sum of the perpendiculars drawn from an interior point of an equilateral triangle is 20 cm. What is the length of side of the triangle ?

Find the coordinates of the foot of the perpendicular drawn from the point (2,-5) on the straight line x=y+1.

The foot of the perpendicular drawn from the point (1,8,4) on the line joining the points (0,-11,4) and (2,-3,1) is

The foot of the perpendicular drawn from the point (1,8,4) on the line joining the points (0,-11,4) and (2,-3,1) is

Prove that the line segment joining the middle points of two sides of a triangle is half the third side.

Prove that the sum of the perpendiculars drawn from any interior point of an equilateral triangle to its sides then sum of three perpendiculars is equal to the altitude of the triangle.

Prove that the straight line joining the vertex of an isosceles triangle to any point in the base is smaller than either of the equal sides of the triangle.

The line joining the mid-points of two sides of a triangle is parallel to the third side.

Find the locus of the foot of the perpendicular drawn from the origin to the straight line which passes through the fixed point (a,b).