Question

triangle nop is similar to triangle qrs. find the measure of side qr. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify corresponding sides

Since $\triangle NOP \sim \triangle QRS$, the corresponding sides are proportional. So, $\frac{NO}{QR}=\frac{OP}{RS}$.
Here, $NO = 6$, $OP = 11$, and $RS = 38$. Let $QR = x$.

Step2: Set up proportion and solve

Set up the proportion: $\frac{6}{x}=\frac{11}{38}$.
Cross - multiply: $11x=6\times38$.
Calculate $6\times38 = 228$. So, $11x = 228$.
Solve for $x$: $x=\frac{228}{11}\approx20.7$.

Answer:

$\approx 20.7$