Respuesta :

gmany

Answer:

NS = 24

Step-by-step explanation:

The medians of the triangle are divided in a ratio of 1:2. Therefore:

[tex]\dfrac{PS}{NP}=\dfrac{1}{2}[/tex]

We have NP = 16. Substitute:

[tex]\dfrac{PS}{16}=\dfrac{1}{2}[/tex]             multiply both sides by 16

[tex]PS=8[/tex]

NS = NP + PS

Therefore

NS = 16 + 8 = 24