If a,b,c are sides of a right triangle where c is the hypotenuse.Prove that radius r that touches the sides of triangle is r=a+b-c/2
Asked by Tarun Rath | 20th Feb, 2014, 09:36: AM
Consider the following figure.
Here, O is the incentre of the triangle. Thus, 'r' is the inradius of the circle.
Multiply the numerator and the denominator by (a+b - c), we have,
Answered by | 20th Feb, 2014, 10:47: AM
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