A circle of radius 3 cm is drawn inscribed in a right angle triangle ABC, right angled at C. If AC is 10 Find the value of CB.

Solution: A circle of radius 3 cm is drawn inscribed in a right angle triangle ABC, right angled at C. If AC is 10 Find the value of CB.Solution:(Tangents from the external point are equal)(x + 7)2 = 102 + (x + 3)2⇒ x2 + 14x + 49 = 100 + x2 + 6x + 9⇒ 8x = 60∴ x = 7.5cm ∴ CB = x + 3 = 7.5 + 3 = 10.5 cm