We know that circumradius, R = half of hypotenuse.∴ Hypotenuse H = 25 cm.Also, inradiuswhere a and b are the perpendicular sides of the right angled triangle.⇒ a + b = 31. ....(1)Also, a2+ b2 = H2⇒ a2 + b2 = 625 .....(2)Squaring (1) and subtracting (2) from it, we get:a2 + b2 + 2ab - a2- b2 = 961 - 625⇒ 2ab = 336ab = 168Area of a right angled triangle = ab/2 = 168/2 = 84 sq. cms