Given: △OKE∼△VDE
Prove: EK/EO = ED/EV

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.