Question

what value of x will make the triangles similar by the sss similarity theorem? x =

Explanation:

Step1: Set up the proportion

Since the triangles are similar by SSS similarity theorem, the ratios of corresponding sides are equal.
$$\frac{15}{20}=\frac{21}{x}$$

Step2: Cross - multiply

Cross - multiply the proportion: \(15x = 21\times20\)

Step3: Solve for \(x\)

First, calculate \(21\times20 = 420\). Then, \(x=\frac{420}{15}\)
\(x = 28\)

Answer:

\(28\)