Respuesta :

Answer:

The proof is below.

Step-by-step explanation:

Given two triangles similar.

we have to prove that ratio [tex]\frac{EK}{EO}=\frac{VE}{ED}[/tex]

As, △OKE∼△VDE

∴ their corresponding sides are in same proportion.

[tex]\frac{OK}{VD}=\frac{EK}{ED}=\frac{OE}{VE}[/tex]

⇒ [tex]\frac{EK}{ED}=\frac{EO}{VE}[/tex]

⇒ [tex}\frac{EK}{EO}=\frac{VE}{ED}[/tex]

Hence Proved.