The hypotenuse of a right triangle has its ends at the points (1, 3) and (-4, 1). Find the equation of the legs (perpendicular sides) of the triangle.

The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (- 4, 1). Find an equation of the legs (perpendicular sides) of the triangle.

The ends of the hypotenuse of a right angled triangle are (6, 0) and (0, 6). Find the locus of the third vertex.

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.

The hypotenuse is the……….. Side in right triangle.

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

The mid-points of the sides of a triangle are (2,1), (-5,7), (-5, -5). Find the equations of the sides.

If the ends of the base of an isosceles triangle are at (2, 0) and (0, 1), and the equation of one side is x = 2 , then the orthocenter of the triangle is

The base of a right-awngled triangle is 48 cm and it hypotenuse is 50 cm. Find the area of the triangle.

The extremities of the base of an isosceles triangle are the points (2a, 0) and (0, a). The equation of one of the sides is x = 2a. Find the equations of the other two sides and the area of the triangle.

Represent the following problem situations in the form of Quadratic Equations :- The sides (in cm) of a right triangle containing the right angle are 5x and {3x - 1). If the area of the triangle is 60 cm^2 , find the sides of the triangle.