Question

△abc ~ △def
find the value of x.
a
2 ft
b
3 ft
c
d
x ft
e
6 ft
f
x = ?

Explanation:

Step1: Set up proportion

Since $\triangle ABC\sim\triangle DEF$, the ratios of corresponding sides are equal. So, $\frac{AB}{DE}=\frac{BC}{EF}$. Substituting the given values, we get $\frac{2}{x}=\frac{3}{6}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{2}{x}=\frac{3}{6}$ gives $3x = 2\times6$.

Step3: Solve for x

We have $3x=12$. Dividing both sides by 3, we get $x = 4$.

Answer:

$4$