Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by

Let A(h, k), B (1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1 square unit, then the set of values which 'k' can take is given by

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

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

Prove that (2,\ -2),\ (-2,\ 1) and (5,\ 2) are the vertices of a right angled triangle. Find the area of the triangle and the length of the hypotenuse.

Show that the points A(-1, 1), B(2, -2) and C(8, 4) are the vertices of a right angled triangle.

Prove that the points A(1, -3), B (-3, 0) and C(4, 1) are the vertices of an isosceles right- angled triangle. Find the area of the triangle.