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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 Find In ratio and proportion, if x/(y+z)=y/(z+x)=z/(x+y) then prove each ratio = 1/2 or -1 [ Calculator, Method and examples ]Solution: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 1!=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))=(x+y+z)/(2y+2z+2x)Case-2 : If 1=0, then y+z=y+z-1Then, the first ratio =(x)/(y+z)=(x)/(y+z-1)Hence, each ratio =(x)/(y+z-1).Thus, the value of each ratio is (x+y+z)/(2y+2z+2x) or (x)/(y+z-1).

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