Question

If a: b = c: d than prove by K method that a² + c²/b²+ d² =ac/ bd.​

Answer 1

The Answer to your question is attached

Answer 2

Given : a: b = c : d

To Find :  prove by K method that

a²+c² / b²+d² =  ac/ bd​

Solution:

a: b = c : d

=> a/b = c/d = k

=> a = bk  and c = dk

LHS

= (a²+c²)/  (b²+d² )

= ( (bk)² + (dk)² )/ (b² + d²)

= k²(b² + d²)/(b² + d²)

= k²

RHS

= ac/bd

= bk.dk/bd

= bdk²/bd

= k²

LHS = RHS = k²

QED

Hence proved

a²+c² /  b²+d² =  ac/ bd​  if  a:b= c:d

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