Question

question

\\(abc\\) is similar to \\(xyz\\). the lengths of two sides of each triangle are given in the figure. find the length of side \\(x\\).

• enter a fraction or a mixed number.

provide your answer below:

\\(x = \\)

Explanation:

Set up the similarity proportion

$$ \frac{BC}{YZ} = \frac{AB}{XY} $$

Substitute the given values

$$ \frac{7}{x} = \frac{8}{2\frac{2}{3}} $$

Solve for x

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Answer:

\(ABC\) is similar to \(XYZ\). The lengths of two sides of each triangle are given in the figure. Find the length of side \(x\).

• Enter a fraction or a mixed number.

Provide your answer below:

\(x =\) <blank>\(2\frac{1}{3}\)</blank>