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Scale Factor of Length

ABC∼ΔXYZ and ...

Question

$△ ABC \sim Δ XYZ$ and the ratio of the corresponding sides of $Δ XYZ$ and $Δ ABC$ is 2:1. Find the measure of sides XY, YZ and ZX.

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Solution

Given: $△ ABC \sim Δ XYZ$

$\frac{X Y}{A B} = \frac{Y Z}{B C} = \frac{X Z}{A C} = 2$

$\Rightarrow \frac{X Y}{6} = \frac{Y Z}{8} = \frac{X Z}{10} = 2$

$\Rightarrow$ XY = 12 cm, YZ = 16 cm and
XZ = 20 cm.

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