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triangle ghi is similar to triangle pqr. find x.

Question

triangle ghi is similar to triangle pqr. find x.

Explanation:

Answer:

Since the triangles are similar, the ratios of corresponding sides are equal. Assuming the side of length \(x\) in \(\triangle GHI\) corresponds to the side of length \(13\) in \(\triangle PQR\) and the side of length \(16\) in \(\triangle GHI\) corresponds to the side of length \(13\) in \(\triangle PQR\), we have \(\frac{x}{13}=\frac{16}{13}\), so \(x = 16\)

Discipline: Mathematics
Sub - field: Geometry