The hypotenuse of a right angled 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 triangle with its legs of lengths 3x xx 4x is

The vertices of a triangle are the points (2,1) , (-2,3) and (4,5) . Find the equation of its sides.

The perpendicular sides of a right angled triangle are 3x and 4x . The length of its hypotenuse is 30 . Find the lengths of the perpendicular sides of the right angled triangle.

If the equation of the hypotenuse of a right - angled isosceles triangle is 3x+4y=4 and its opposite vertex is (2, 2), then the equations of the perpendicular and the base are respectively

A side of an isosceles right angled triangle is x. Find its hypotenuse.

Show that in a right angled triangle,the hypotenuse is the longest side.

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

Application of quadratic equation : The hypotenuse of a right angle triangle is 6 m more than the twice the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle.

The base of a right - angled triangle measures 48 cm and its hypotenuse measures 50 cm . Find the area of the triangle .