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 the points (2,-2), (-2, 1) and (5, 2) are the vertices of a right angled triangle. Also find the area of this triangle.

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.