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Ratio of Area of Any Two Triangles

Triangles ABC...

Question

Triangles ABC and XYZ are similar. What is the length of XZ?

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Solution

The correct option is D 24
First find the scale factor:
Since BC = 10 and YZ = 20, the scale factor is found by dividing YZ by BC
Scale factor = $\frac{20}{10} = 2$
Now use the same scale factor to find the length of XZ:
XZ = 2 x 12 = 24

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