The radius of the inscribed circle and the radii of the three escribed circles of a triangle are consecutive terms of a geometric progression then triangle

Show that that the radii of the three escribed circles of a triangle are the roots of the equation x^3-x^2(4R+r)+xs^2-rs^2=0

The perimeter of a triangle is equal to the diameter of the escribed circle then the triangles is

The radius of a inscribed circle of a traingle whose side-lengths are three consecutive natural numbers,is 4 units.If the circumradius of the triangle is R,then the value of (8R/13) is

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

If the area of a triangle is 96 and the radii of the escribed circles are 8, 12, 24, then the greatest side of the triangle is

The radius of the circumcircle of a right angled triangle is 15 cm and the radius of its inscribed circle is 6 cm. Find the sides of the triangle.

If the area of a triangle is 96 and the radii.the escribed circles are 8,12,24 ,then the greatest side of the triangle is

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