Question

similar figures / direct scale (level 2)
score: 1/15 penalty: none
question
triangle rst is similar to triangle uvw. find the measure of side wu. figures are not drawn to scale.
answer attempt 1 out of 2

Explanation:

Step1: Identify corresponding sides

Since \(\triangle RST\sim\triangle UVW\), \(TS\) corresponds to \(WV\) and \(TR\) corresponds to \(WU\).

Step2: Set up proportion

The proportion is \(\frac{TS}{WV}=\frac{TR}{WU}\). Substituting values: \(\frac{3}{20.4}=\frac{4}{WU}\).

Step3: Cross - multiply

Cross - multiply gives \(3\times WU = 4\times20.4\).

Step4: Solve for \(WU\)

\(WU=\frac{4\times20.4}{3}\). Calculate \(4\times20.4 = 81.6\), then \(WU=\frac{81.6}{3}=27.2\).

Answer:

\(27.2\)