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+4
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avatar+294 

The side lengths of a right triangle measure \(x,x+y\)\(x-y\) and  units where \(0 < y < x\). What is the value of \(\)\(y \div x\)? Express your answer as a common fraction.

 Feb 23, 2021
 #1
avatar+118069 
+1

(x +y)^2  = x^2  + ( x - y)^2

 

x^2  + 2xy  + y^2  =  x^2  + x^2  - 2xy  + y^2

 

4xy   =   x^2

 

4y  =  x

 

y / x  =   1/4

 

cool cool cool

 Feb 23, 2021
 #2
avatar+294 
+5

Thank you! Thank you! Was waiting for such a long time.

calvinbun  Feb 23, 2021

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