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A circle of radius 4 cm is drawn inscribed in a right angle triangle ABC, right angled at C. If AC=12 cm, then the value of CB is:
Question

A circle of radius 4 cm is drawn inscribed in a right angle triangle ABC, right angled at C. If AC=12 cm, then the value of CB is:

A.

12 cm

B.

16 cm

C.

8 cm

D.

20 cm

Correct option is B

Given:
​The radius of the inscribed circle = 4 cm.
AC = 12 cm (one of the legs of the right-angled triangle).
The triangle is right-angled at C.
Concept Used: 
Properties of tangent: 
Tangents drawn to the circle from an external point has equal length.
Pythagoras theorem: 
(Hypotenuse)2=(Base)2+(Perpendicular)2\text{(Hypotenuse)}^2 =\text{(Base)}^2 + \text{(Perpendicular)}^2 

Solution:

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