SOLUTION: Show that for s (semiperimeter), r(radius of inscribed circle), and r 9radius of circumscribed circle), abc = 4srR.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Show that for s (semiperimeter), r(radius of inscribed circle), and r 9radius of circumscribed circle), abc = 4srR.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 18454: Show that for s (semiperimeter), r(radius of inscribed circle), and r 9radius of circumscribed circle), abc = 4srR.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
we got area of a triangle =(1/2)b*c* Sin A = r*s
we also have the formula that a/Sin A=2R..or...Sin A =a/2R..using this we get
(1/2)b*c* Sin A = (1/2)*b*c*a/2R=a*b*c/4R = r*s...or a*b*c=4R*r*s