Question

if a:b=b:c then proof that a:c=a^2:b^2​

Answer 1

Answer:

$\frac{a}{b} = \frac{b}{c} \\ \\ {b}^{2} = ac \\ \\ \frac{a}{c} = \frac{a}{ \frac{ {b}^{2} }{a} } \\ \\ = \frac{ {a}^{2} }{ {b}^{2} }$

Answer 2

hey ❤

given here

a:b= b:c

proof here

a:c= a²:b²

Proof :---

given here

a:b= b:c

=>a/b = b/c

=>ac= b² ....(1)

so,

a:c

= a/c

= a/c × a/a

= a²/ac

by (1)

= a²/b²

thats proved

i hopes its help's u

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