document.write( "Question 1105670: How do you find the radius of a circle inscribed in a scalene triangle \n" ); document.write( "
Algebra.Com's Answer #720539 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! If the sides have length a, b, c, we define the semi-perimeter s to be half their sum, so s = (a+b+c)/2. Given this, the radius is \n" ); document.write( ": \n" ); document.write( "r^2 = (s - a)*(s - b)*(s - c) / s \n" ); document.write( ": \n" ); document.write( "Take the square root of this expression to find r \n" ); document.write( ": \n" ); document.write( "Here we are using Heron's formula to derive the formula for r^2, namely \n" ); document.write( ": \n" ); document.write( "A = s * r \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |