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5) 14 2 1 x

Question

  1. 14 2 1 x

Explanation:

Step1: Assume similar triangles

If the two triangles are similar, the ratios of their corresponding sides are equal.

Step2: Set up proportion

The ratio of the vertical - to - horizontal sides of the first triangle should be equal to the ratio of the vertical - to - horizontal sides of the second triangle. So we have $\frac{14}{x}=\frac{2}{1}$.

Step3: Cross - multiply

Cross - multiplying gives us $2x = 14\times1$.

Step4: Solve for x

Dividing both sides of the equation $2x=14$ by 2, we get $x = 7$.

Answer:

7