Question

triangle hij is dilated by a scale factor of $\frac{2}{3}$ to form triangle hij. what is the measure of side ij? j 42 i 29.7 29.7 h

Explanation:

Step1: Recall dilation formula

The length of a dilated side is original side length times scale - factor. Let the original side length $IJ = 42$, and the scale factor $k=\frac{2}{3}$.

Step2: Calculate the length of $I'J'$

$I'J'=IJ\times k$. Substitute $IJ = 42$ and $k=\frac{2}{3}$ into the formula: $I'J'=42\times\frac{2}{3}$.
$42\times\frac{2}{3}=\frac{42\times2}{3}=\frac{84}{3}=28$.

Answer:

28