Question

1. find the missing side from the following similar triangl

x =

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{x}{x + 36}=\frac{5}{15}$.

Step2: Simplify the proportion

Simplify $\frac{5}{15}$ to $\frac{1}{3}$. The equation becomes $\frac{x}{x + 36}=\frac{1}{3}$.

Step3: Cross - multiply

Cross - multiply: $3x=x + 36$.

Step4: Solve for $x$

Subtract $x$ from both sides: $3x−x=x + 36−x$, which gives $2x = 36$. Then divide both sides by 2: $x=\frac{36}{2}$.

Answer:

$18$