Question

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

Explanation:

Step1: Set up the proportion

According to the SSS similarity theorem, the ratios of corresponding sides of similar triangles are equal. So, we have the proportion \(\frac{15}{20}=\frac{21}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(15x = 21\times20\).

Step3: Solve for \(x\)

First, calculate \(21\times20 = 420\). Then, \(x=\frac{420}{15}\).
Since \(420\div15 = 28\), we get \(x = 28\).

Answer:

\(28\)