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triangle ghi is similar to triangle xyz. find b.

Question

triangle ghi is similar to triangle xyz. find b.

Explanation:

Answer:

Since the triangles are similar, the ratios of corresponding sides are equal. Let's assume the side of length \(b\) in \(\triangle GHI\) corresponds to the side of length 14 in \(\triangle XYZ\), and the side of length 17 in \(\triangle GHI\) corresponds to the side of length 13 in \(\triangle XYZ\). Then \(\frac{b}{14}=\frac{17}{13}\), so \(b = \frac{238}{13}\)

Discipline: Mathematics
Sub - field: Geometry