Respuesta :

we are given that

P is a centroid

we know that

centroid always divides median into 2:1

so,

[tex] JP=\frac{2}{3} JM [/tex]

now, we can solve for JM

[tex] JM=\frac{3}{2} JP [/tex]

we are given

JP=27

so, we can plug it

[tex] JM=\frac{3}{2} *27 [/tex]

we get

[tex] JM=\frac{81}{2} [/tex]............Answer