Question

triangle fgh is similar to triangle abc. solve for x. x =

Explanation:

Step1: Set up proportion

Since \(\triangle FGH\sim\triangle ABC\), the ratios of corresponding sides are equal. So, \(\frac{GH}{BC}=\frac{FH}{AC}\). Substituting the values, we get \(\frac{7}{14}=\frac{6}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(7x = 14\times6\).

Step3: Solve for \(x\)

First, calculate \(14\times6 = 84\). Then, \(7x=84\). Dividing both sides by \(7\), we have \(x=\frac{84}{7}\).

Answer:

\(12\)