Question

triangle lmn is dilated by a scale factor of 3 to form triangle lmn. side lm measures 15. what is the measure of side lm?

Explanation:

Step1: Recall dilation formula

When a figure is dilated, the length of a new - side is the product of the scale factor and the length of the corresponding original side. Let the scale factor be $k$, the length of the original side be $s$, and the length of the new side be $s'$. The formula is $s'=k\times s$.

Step2: Identify values

We are given that $k = 3$ (scale factor) and $s=15$ (length of side $LM$).

Step3: Calculate the length of $L'M'$

Substitute the values into the formula: $s'=3\times15 = 45$.

Answer:

45