Question

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

Explanation:

Step1: Set up the proportion

By SSS similarity theorem, \(\frac{15}{20}=\frac{21}{x}\).

Step2: Cross - multiply

\(15x = 21\times20\).

Step3: Solve for \(x\)

\(15x=420\), then \(x=\frac{420}{15}=28\).

Answer:

\(28\)