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

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Problem: 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 -1


Here `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-1`

Then, the first ratio `=x/(y+z)`

`=(x)/(y+z-1)`

`=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)`.








Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

 
Copyright © 2019. All rights reserved. Terms, Privacy





We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more