Question

△ABC △ABC  is similar to △LMN △LMN . Also,  side AB measures 5 cm,  side AC measures 7 cm, and  side L​M measures 35 cm.

What is the measure of side L​N ?

Answer 1

LM / AB = LN / AC

35 / 5 = LN / 7

LN = 7 * 7

LN = 49

you use Property theorem to get you the answer of 49 CM

Answer 2

You need to apply "Proportionality theorem" here:
LM / AB = LN / AC
35 / 5 = LN / 7
LN = 7 * 7
LN = 49

In short, Your Answer would be 49 cm

Hope this helps!