SOLUTION: There is a 3 4 5 right triangle. There is also a circle inscribed in the triangle and you are able to draw tangent points. What is the radius of the circle?

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Question 1119114: There is a 3 4 5 right triangle. There is also a circle inscribed in the triangle and you are able to draw tangent points. What is the radius of the circle?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
For ANY right angled triangle with the legs "a" and "b" and the hypotenuse "c", 


    where c = sqrt%28a%5E2%2Bb%5E2%29,

    
the radius of the inscribed circle  r = %28a+%2B+b+-+c%29%2F2.


So, in your case the radius of the inscribed circle is  %283+%2B+4+-+5%29%2F2 = 1 unit.

See the lesson
    - Solved problems on tangent lines released from a point outside a circle
in this site.