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True [87]
3 years ago
6

Given: △OKE∼△VDE Prove: EK/EO = ED/EV

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

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.

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