$\\triangle abc$ and $\\triangle pqr$ are similar. find the missing side length.\n(the triangles are not…

$\\triangle abc$ and $\\triangle pqr$ are similar. find the missing side length.\n(the triangles are not drawn to scale.)

$\\triangle abc$ and $\\triangle pqr$ are similar. find the missing side length.\n(the triangles are not drawn to scale.)

Answer

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{PQ}{AB} = \frac{2}{12} = \frac{1}{6}$

Step2: Set up proportion for missing side

Let $QR = x$. $\frac{x}{BC} = \frac{1}{6}$

Step3: Solve for $x$

$x = 24 \times \frac{1}{6}$

Answer:

4