Question

triangle ghi is similar to triangle xyz. find m and y.

Explanation:

Answer:

Since the triangles are similar, the ratios of corresponding sides are equal.
We have the proportion \(\frac{y}{14}=\frac{11}{17}=\frac{12}{m}\)

First, from \(\frac{y}{14}=\frac{11}{17}\), we can cross - multiply to get \(17y = 14\times11\), so \(y=\frac{14\times11}{17}=\frac{154}{17}\approx9.06\)

From \(\frac{11}{17}=\frac{12}{m}\), we cross - multiply: \(11m=12\times17\), so \(m = \frac{12\times17}{11}=\frac{204}{11}\approx18.55\)

So \(y=\frac{154}{17}\), \(m=\frac{204}{11}\)