Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

$\\triangle qrs \\sim \\triangle fde$. find $qr$. $qr = \\square$

Question

$\triangle qrs \sim \triangle fde$. find $qr$.
$qr = \square$

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{FD}{SR} = \frac{27}{2} = 13.5$

Step2: Set up proportion for $QR$

$\frac{QR}{FD} = \frac{QS}{FE}$
Substitute values: $\frac{QR}{27} = \frac{3}{27}$

Step3: Solve for $QR$

$QR = 27 \times \frac{3}{27}$

Answer:

$QR = 3$