Question

determining a missing side length
what value of x will make the triangles similar by the
sss similarity theorem?
x=
15
21
15
20
20

Explanation:

Step1: Set up the proportion

For SSS similarity, the ratios of corresponding sides are equal. So, \(\frac{15}{20}=\frac{21}{x}\)

Step2: Cross - multiply

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

Step3: Solve for \(x\)

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

Answer:

\(x = 28\)