Question

the figures are similar. find the missing side and enter in the pink box.
30
81
36 ?
54 20
30

Explanation:

Step1: Find the scale factor

Since the figures are similar, the ratio of corresponding sides is equal. Let's find the scale factor using the sides \(54\) and \(30\). The scale factor \(k=\frac{30}{54}=\frac{5}{9}\)

Step2: Calculate the missing side

We know one side of the first triangle is \(36\). Let the missing side be \(x\). Using the scale factor, we have \(x = 36\times\frac{5}{9}\)

$$x=\frac{36\times5}{9}= 20$$

Answer:

\(20\)