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ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle.

ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are-example-1

1 Answer

4 votes

Answer:

b=9

x=5.5

Explanation:

find the common ration

AB is 6, and XY is 3 (they are the corresponding sides)

ratio is 2 to 1 (6/3=2/1)

AC corresponds with YZ

XY is 4.5 so b is 4.5*2=9

ZY corresponds with CB

CB is 11, since XYZ is the smaller divide by 2 instead of multiplying by 2

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