Question

Given: △OKE∼△VDE Prove: EK/EO = ED/EV

Answer 1

Answer:

The proof is below.

Step-by-step explanation:

Given two triangles similar.

we have to prove that ratio $\frac{EK}{EO}=\frac{VE}{ED}$

As, △OKE∼△VDE

∴ their corresponding sides are in same proportion.

$\frac{OK}{VD}=\frac{EK}{ED}=\frac{OE}{VE}$

⇒ $\frac{EK}{ED}=\frac{EO}{VE}$

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

Hence Proved.