Question

Triangle LMN ~ Triangle XYZ and LM/XY=3/5, then______

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Answer 1

Given:

Triangle LMN ~ Triangle XYZ

$\frac{LM}{XY} =\frac{3}{5}$

In ΔLMN ~ ΔXYZ

we know that corresponding angles are equal of similar triangle

so ∠X≅∠L

 ∠Y≅∠M

 ∠Z≅∠N

Corresponding sides are equal of similar triangle

$\frac{LM}{XY}=\frac{MN}{YZ}=\frac{LM}{XZ}$

so according to the question it is given that

$\frac{LM}{XY} =\frac{3}{5}$

i.e. $\frac{LM}{XY}=\frac{MN}{YZ}=\frac{LM}{XZ}=\frac{3}{5}$

Hence the answer is $\frac{LM}{XY}=\frac{MN}{YZ}=\frac{LM}{XZ}=\frac{3}{5}$