Question

△abc is similar to △xyz. ab is 9.9 feet and bc is 4.9 feet while xy is 12.8 feet. then what length is yz? enter the value. you do not need to enter the units. round to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since \(\triangle ABC\sim\triangle XYZ\), the ratios of corresponding sides are equal. So, \(\frac{AB}{XY}=\frac{BC}{YZ}\).
Substituting the given values: \(\frac{9.9}{12.8}=\frac{4.9}{YZ}\).

Step2: Solve for \(YZ\)

Cross - multiply: \(9.9\times YZ = 12.8\times4.9\).
First, calculate \(12.8\times4.9=62.72\).
Then, \(YZ=\frac{62.72}{9.9}\).
\(YZ\approx6.3\)

Answer:

\(6.3\)