$△ A B C \sim △ X Y Z$ and the ratio of the corresponding sides of $△$ XYZ and $△$ ABC is 2 : 1. Find the measure of sides XY, YZ and ZX.

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Solution

Given : $△ A B C \sim △ X Y Z \frac{X Y}{A B} = \frac{Y Z}{B C} = \frac{X Z}{A C} = 2 \Rightarrow \frac{X Y}{6} = \frac{Y Z}{8} = \frac{X Z}{10} = 2 \Rightarrow X Y = 12 c m, Y Z = 16 c m a n d X Z = 20 c m .$

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