You can
put this solution on YOUR website!r = sqrt [(s - a)(s - b)(s - c)/s] where s = (a + b + c)/2
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s = (3+4+5)/2 = 6
r = sqrt(3*2*1/6)
r = 1 cm
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This is very similar to Heron's Law for the area of a triangle, the difference being that "s" inside the radical is a divisor rather than a multiplier.
It works for all triangles, not just right triangles.