Side of pedal triangle and Circum-Radius of pedal Triangle

In a triangle the sum of two sides is x and their product is y such that (x + 2)(x-2) = y where z is the third side of the triangle. Circum radius of the triangle is

Pedal Triangle and Ambiguous Case

If the sides of the triangle are the roots of the equation x^(3)-2x^(2)-x-16 =0, then the product of the in-radius and circum-radius of the triangle ,is

If the sides of the triangle are the roots of the equation x^(3)-2x^(2)-x-16 =0, then the product of the in-radius and circum-radius of the triangle ,is

In a triangle ABC, angleC=90^(@) , r and R are the in-radius and circum-radius of the triangle ABC respectively, then 2(r+R) is eqaul to

The circum-radius of an equilateral triangle is 8 cm. The in-radius of the triangle is

In a triangle the sum of two sides is x and the product of the same two sides is y .If x^(2)-c^(2)=y , where c is the third side of the triangle , then the ratio of the in-radius to the circum-radius of the triangle is