Question 2

The radius of the incircle in the given diagram will be

Solution

AC= $$\sqrt{\ AB^2\ +BC^2}=\ \sqrt{\ 6^2+8^2\ }=10$$

In-radius of right angled triangle = $$\frac{\left(a+b-h\right)}{2}$$

Inradius = $$\frac{\left(6+8-10\right)}{2}=2$$


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