Question

the following shapes are similar. set up a proportion, then solve for the missing part(s).
? = type your answer...

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let the missing side be \(x\). We can set up the proportion \(\frac{10}{x}=\frac{8}{4}\) (using the sides of length \(10\), \(x\), \(8\), and \(4\)).

Step2: Cross - multiply

Cross - multiplying gives \(8x = 10\times4\).

Step3: Simplify the right - hand side

\(10\times4 = 40\), so the equation becomes \(8x=40\).

Step4: Solve for \(x\)

Divide both sides by \(8\): \(x=\frac{40}{8}\).

Answer:

\(5\)