Question

given that the pair of triangles is similar, find the length x. (let a = 3 and b = 1.) x =

Explanation:

Step1: Recall similar triangles property

For similar triangles, corresponding sides are proportional. So, $\frac{a}{150}=\frac{b}{x}$.

Step2: Substitute values of a and b

Given $a = 3$, $b = 1$, substitute into the proportion: $\frac{3}{150}=\frac{1}{x}$.

Step3: Cross - multiply to solve for x

Cross - multiplying gives $3x=150\times1$. Then, $x=\frac{150\times1}{3}$.

Step4: Calculate the value of x

Simplify $\frac{150}{3}=50$.

Answer:

50