Find the locus of the third vertex of a right angled triangle , the ends of whose hypotenuse are (4,0) and (0,4)

Find the the locus of the third vertex of a right angled triangle, the ends of whose hypotenuse are (4,0) and (0,4).

The maximum area of a right angled triangle with hypotenuse h is

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

If a right angled triangle is revolved about its hypotenuse then it will form a ………..

In a right angled triangle one is 43^@ , then the third angle is__

Equilateral triangle are drawn on the three sides of a right angled Triangle. Show that the area of the Triangle on the hypotenuse is equal to the sum of the areas of triangle on the other two sides.

The ends of the hypotenuse of a right angled triangle are (2,0,-3) ,(0,4,1) then the locus of the third vertex is