proprtion ,if a/b=c/d=ef than prove that
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what we have to prove???
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Let a/b = c/d = e/f = k then
a = bk, c = dk and e = fk
L.H.S. = (ab + cd + ef)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.
Hence proved.
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