Question

triangle nop is dilated by a scale factor of \\( \frac { 1 } { 2 } \\) to form triangle nop. side no measures 33. what is the measure of side no?

Explanation:

Step1: Recall the formula for dilation

When a figure is dilated, the length of a side of the new figure is equal to the length of the corresponding side of the original figure multiplied by the scale factor. Let \(l\) be the length of the original side and \(k\) be the scale factor. Then the length of the new side \(l'\) is \(l'=k\times l\).

Step2: Substitute the given values

We are given that \(l = 33\) (length of side \(NO\)) and \(k=\frac{1}{2}\) (scale factor). So, \(l'=\frac{1}{2}\times33\).

$$l'=\frac{33}{2}=16.5$$

Answer:

\(16.5\)