Question

cho a/b=c/d chứng minh a^2+c^2/b^2+d^2=ac/bd

Answer 1

giúp mk với

Answer 2

đợi tý đc ko

Answer 3

ta có\(\frac{a}{b}\)= \(\frac{c}{d}\)=\(\frac{a^2}{b^2}\)=\(\frac{c^2}{d^2}\)

\(\frac{a^2}{b^2}\)=\(\frac{c^2}{d^2}\)=\(\frac{a^2+c^2}{b^2+d^2}\)

\(\frac{a}{b}\)=\(\frac{c}{d}\)=\(\frac{a.c}{b.d}\)

\(\frac{a^2+c^2}{b^2+c^2}\)=\(\frac{a.c}{b.d}\)

Answer 4

Ta có \(\frac{a}{b}=\frac{c}{d}\Rightarrow\frac{a}{b}\times\frac{c}{d}=\frac{c^2}{d^2}\)

\(\frac{c}{d}=\frac{a}{b}\Rightarrow\frac{a}{b}\times\frac{c}{d}=\frac{a^2}{b^2}\)

\(\Rightarrow\frac{ab}{cd}=\frac{a^2}{b^2}=\frac{c^2}{d^2}=\frac{a^2+c^2}{b^2+d^2}\)

\(\Rightarrow\frac{ac}{bd}=\frac{a^2+c^2}{b^2+d^2}\)(ĐPCM)

Answer 5

thank nha cám ơn các bn nhiều