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Question

The circle is inscribed in a triangle with sides 3, 4 and 5 cm .what is the radius of the circle is

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Solution

The formula you need is
area of triangle = (semiperimeter of triangle)(radius of incircle)
(3×4)/2 =(3+4+5)/2 ×r⟺r=1
The derivation of the formula is simple. This webpage gives detail explanation, you might take a look at it:

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