Question

δabc ~ δdef. find the value of x.

Explanation:

Step1: Set up proportion

Since $\triangle ABC\sim\triangle DEF$, the ratios of corresponding sides are equal. So, $\frac{AB}{DE}=\frac{AC}{DF}$. Substituting the given values, we have $\frac{7}{x}=\frac{6}{12}$.

Step2: Cross - multiply

Cross - multiplying gives us $6x = 7\times12$.

Step3: Solve for x

First, calculate $7\times12 = 84$. Then, $x=\frac{84}{6}=14$.

Answer:

$14$