A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show that the maximum length of the hypotenuse is `(a^(2/3)+b^(2/3))^(3/2)` .

A point on the hypotenuse of a right triangle is at distances a and b from the sides of the triangle.Show that the minimum length of the hypotenuse is (a^((2)/(3))+b^((2)/(3)))^((3)/(2))

The hypotenuse of a triangle is 2.5cm. If one of the sides is 1.5cm. find the length of the other side.

The length of the two sides of a right-angled triangle are equal Find the length of the hypotenuse

The perimeter of a right angled triangle is 60 cm. The ratio of the sides containing the right angle 5:2:3 What is the length of the hypotenuse

' Prove that the mid-point of the hypotenuse of a right triangle is equidistant from its vertices.

If A be the area of a right triangle and b one of the sides containing the right angle,prove that the length of the altitude on the hypotenuse is (2AB)/(sqrt(b^(4)+4A^(2)))

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.