# SOLUTION: i have a right triangle with a circle inside. the height is 3 and the base is 4. the long diagonal side is 5. i need to know what the radius of the circle is?

Algebra ->  Algebra  -> Surface-area -> SOLUTION: i have a right triangle with a circle inside. the height is 3 and the base is 4. the long diagonal side is 5. i need to know what the radius of the circle is?      Log On

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 Geometry: Area and Surface Area Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Surface-area Question 70177: i have a right triangle with a circle inside. the height is 3 and the base is 4. the long diagonal side is 5. i need to know what the radius of the circle is?Answer by stanbon(57246)   (Show Source): You can put this solution on YOUR website! http://mcraefamily.com/MathHelp/GeometryTriangleCenterInscribedCircle2.htm This site describes a formula that I did not know till I went looking for it. radius = (Area of the circle)/s, where s=(1/2)(sum of the sides) For your problem Area = (1/2)3*4=6 sq inches. (sum of sides)/2 = 12/2=6 So r=6/6= 1 inch Cheers, Stan H.