Question

triangle e is a scaled copy of triangle d. what is the value of f?

Explanation:

Step1: Find the scale factor

Since triangle \(E\) is a scaled copy of triangle \(D\), the scale factor \(k\) can be found by comparing the corresponding sides. Let's use the sides \(1.8\) and \(2.7\). The scale factor \(k=\frac{2.7}{1.8}\).

$$k = \frac{2.7}{1.8}=\frac{27}{18}=\frac{3}{2}=1.5$$

Step2: Calculate the value of \(f\)

The side of length \(1.6\) in triangle \(D\) corresponds to side \(f\) in triangle \(E\). Using the scale factor \(k = 1.5\), we have \(f=1.6\times k\).

$$f=1.6\times1.5 = 2.4$$

Answer:

\(2.4\)