Question

which of the following equations solves for f?
\\( \frac { 10 } { 8 } = \frac { f } { 5 } \\)
\\( \frac { 8 } { 10 } = \frac { f } { 5 } \\)
\\( \frac { 8 } { 10 } = \frac { 5 } { f } \\)

Explanation:

Step1: Use similar triangles property

For similar triangles, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

The sides \(8\) and \(10\) in one triangle correspond to \(5\) and \(f\) in the other triangle. So, \(\frac{8}{10}=\frac{5}{f}\)

Answer:

\(\frac{8}{10}=\frac{5}{f}\)