Question

the figures in each pair are similar. find the missing length. 3) 18 7.5 5 x

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, \(\frac{7.5}{5}=\frac{18}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(7.5x = 5\times18\).

Step3: Simplify the right - hand side

\(5\times18 = 90\), so the equation becomes \(7.5x=90\).

Step4: Solve for \(x\)

Divide both sides by \(7.5\): \(x=\frac{90}{7.5}\).

Step5: Calculate the value of \(x\)

\(x = 12\).

Answer:

\(12\)