Question

the following shapes are similar. set up a proportion, then solve for the missing part
? = 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 have the proportion \(\frac{35}{14}=\frac{25}{x}\) (using the ratio of the first - pair of corresponding sides equal to the ratio of the second - pair of corresponding sides).

Step2: Cross - multiply

Cross - multiplying gives \(35x = 14\times25\).

Step3: Simplify the right - hand side

\(14\times25=350\), so the equation becomes \(35x = 350\).

Step4: Solve for \(x\)

Divide both sides of the equation by \(35\): \(x=\frac{350}{35}\).

Answer:

\(10\)