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Example 15

Example 15. In the given figure, ABC is right angled triangle with the AB = 6cm and AC = 8cm. A circle with centre O has been inscribed inside the triangle. Calculate the value of r, the radius of the inscribed circle.

Solution:- In right 

BC2 = AB2 + AC2 [By Pathagoras theorem]

= 62 + 82

= 36 + 64

= 100

     = 1/2 X 6 X 8 = 24cm2

= 24/12

= 2cm

 

 


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