The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calc

Question

3 years ago

14

ulate the length of the missing side. Show your work.

1 answer:

aliina [53] · Answer 1 · 2022-10-17T01:08:38+03:00

Answer:

Ratio: 3:2

LN = 18

Step-by-step explanation:

"similar" means that all the angles are the same and the sides were all increased by the same proportion.

Thus, we know that MN/YZ = LM/XY = NL/ZX

First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.

MN/YZ = 15/10 = 3/2

(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)

To find the missing side, we simply multiply XZ by 3/2.

12 * 3/2 = 18, so LN = 18.