Question

if a/b = c/d = e/f prove that each ratio is equal to {a²+c²+e²/ b²+d²+f²}½​

Answer 1

Step-by-step explanation:

let

a/b=c/d=e/f=k ,then

a=bk ,c=dk ,e=fk

L. H. S =(ab +cd+ ed) 2

(bk. b+ dk.d+ fk.f)2

k2(b2+ d2+f2)2

R. H. S=(a2+c2+e2)(b2+d2+f2)

(b2k2+d2k2+f2k2)(b2+d2+f2)

k2(b2+d2+f2)(b2+d2+f2)

k2(b2+d2+f2)2

L. H. S = R.H.S