Question

giúp mik vs ạ

Answer 1

\(\dfrac{a}{b}=\dfrac{b}{c}\Rightarrow b^2=ac\left(1\right)\)

\(VT=\dfrac{a^2+b^2}{b^2+c^2}\left(2\right)\)

Thay \(\left(1\right)\) vào \(\left(2\right)\):

\(\Rightarrow\) \(\dfrac{a^2+ac}{ac+c^2}\) \(=\dfrac{a\left(a+c\right)}{c\left(a+c\right)}\) \(=\dfrac{a}{c}=VP\left(dpcm\right)\)