Home > Algebra calculators > If x/(y+z)=y/(z+x)=z/(x+y) then prove the value of each ratio is 1/2 or -1 calculator

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 Solution Find In ratio and proportion, if x/(y+z)=y/(z+x)=z/(x+y) then prove each ratio = 1/2 or -1Solution:Your problem -> In ratio and proportion, if x/(y+z)=y/(z+x)=z/(x+y) then prove each ratio = 1/2 or -1Here x/(y+z)=y/(z+x)=z/(x+y)Case-1 : If x+y+z!=0, then Each ratio=(x+y+z)/(y+z+z+x+x+y)=(x+y+z)/(2y+2z+2x)=(x+y+z)/(2(y+z+x))Cancel the common factor (x+y+z)=(1)/(2)Case-2 : If x+y+z=0, then y+z=-xThen, the first ratio =(x)/(y+z)=(x)/(-x)Cancel the common factor -x=-1Hence, each ratio =-1.Thus, the value of each ratio is (1)/(2) or -1. Solution provided by AtoZmath.com Any wrong solution, solution improvement, feedback then Submit Here Want to know about AtoZmath.com and me