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triangle def is similar to triangle stu. find y.

Question

triangle def is similar to triangle stu. find y.

Explanation:

Answer:

Since the triangles are similar, the ratios of corresponding sides are equal. Assuming the side of length \(y\) in \(\triangle DEF\) corresponds to the side of length \(10\) in \(\triangle STU\) and the side of length \(10\) in \(\triangle DEF\) corresponds to the side of length \(3\) in \(\triangle STU\), we have \(\frac{y}{10}=\frac{10}{3}\), so \(y = \frac{100}{3}\)

Discipline: Mathematics
Sub - field: Geometry