Are the triangles in figure 1.56 similar? If yes, by which test? - Vidyadip

Question

Are the triangles in figure 1.56 similar? If yes, by which test?

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Answer

In $\triangle P Q R$ and $\triangle L M N \frac{P Q}{L M}=\frac{6}{3}=2$
And $\frac{ QR }{ MN }=\frac{8}{4}=2$
And $\frac{ PR }{ LN }=\frac{10}{5}=2$
$\Rightarrow \frac{P Q}{L M}=\frac{Q R}{M N}=\frac{P R}{L N}=2$
⇒ ΔPQR~ΔLMN …………(By SSS Similarity Test)

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