Question

$\triangle abc$ and $\triangle pqr$ are similar. find the missing side length.(the triangles are not drawn to scale.)in $\triangle abc$: $ab=12$, $bc=24$, $ac=16$in $\triangle pqr$: $pq=3$, $pr=4$, $qr=?$

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{AB}{PQ} = \frac{12}{3} = 4$

Step2: Match corresponding sides

The missing side $QR$ corresponds to $BC$.

Step3: Calculate missing side length

$QR = \frac{BC}{\text{Ratio}} = \frac{24}{4} = 6$

Answer:

6