Question

find missing side

Explanation:

Step1: Determine the scale factor

The ratio of the corresponding sides \(18\div6 = 3\) (comparing the sides of the larger and smaller triangle).

Step2: Calculate the missing side

Let the missing side be \(x\). Using the scale factor, we know that \(\frac{24}{8}=3\) (another pair of corresponding sides). For the side we need to find, if we consider the ratio of the sides of the larger and smaller triangle for the unknown - side pair. Let's use the side \(21\) in the larger triangle. Since the scale factor is \(3\), then \(x=\frac{21}{3}\).

Answer:

\(7\)