Question

triangles below are similar to each other. what setup will find the value of x?

(\frac{10}{5}=\frac{x}{7})

(\frac{5}{10}=\frac{x}{7})

(\frac{7}{5}=\frac{10}{x})

(\frac{x}{7}=\frac{5}{10})

Explanation:

Step1: Apply the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal.
The side of length \(5\) in the first triangle corresponds to the side of length \(10\) in the second triangle. The side of length \(7\) in the first triangle corresponds to the side of length \(x\) in the second triangle.
So, we can set up the proportion \(\frac{10}{5}=\frac{x}{7}\)

Answer:

\(\frac{10}{5}=\frac{x}{7}\) (First option)