Find the area of right triangle if it is known that the radius of the circle inscribed in the triangle is r and that of the circumscribed circle is R.

ABC is right -angled triangle of given area S. Find the sides of the triangle for which the area of the circumscribed circle is least.

Let ABC be an isosceles triangle with base BC. If 'r' is the radius of the circle inscribed in triangle ABC and r_(1) is the radius of the circle escribed opposite to the angle A, then the product r_(1)r can be equal to

ABC is a right angled triangle of given area S.Find the sides of the triangle for which the area of circumscribed circle is least.

The circumference of a circle circumscribing an equilateral triangle is 24pi units dot Find the area of the circle inscribed in the equilateral triangle.

Find the ratio of the diameter of the circles inscribed and circumscribing an equilateral triangle to its height