Question

ASAP NEED HELP!!! What would PM be and how do I find it??

Answer 1

PM = 14.4 units

Explanation:

ΔKLM ≈ ΔNPM so we can write a proportion relating corresponding sides

LM / KM = PM / NM

24 / 25 = PM / 15

cross-multiply:

25·PM = 24(15)

25PM = 360

PM = 360 / 25

PM = 14.4

Answer 2

PM = 14.4

Explanation:

In triangle MLK, PN || LK

Therefore, by Basic Proportionality Theorem:

`\frac {PM}{PL} =(15)/(10)`

`\frac {PL}{PM} =(10)/(15)`

(By invertendo)

`\frac {PL+ PM}{PM} =(10+15)/(15)`

(By componendo)

`\frac {LM}{PM} =(25)/(15)`

`\frac {24}{PM} =(5)/(3)`

`PM= \frac {24* 3}{5}`

`PM= \frac {72}{5}`

`PM= 14.4`