use the geometric mean (altitude) theorem. what is the value of m?

Answer:
4[tex]\sqrt{10}[/tex]
Step-by-step explanation:
m/8 = 20/m
cross-multiply:
m² = 160
m = [tex]\sqrt{160}[/tex] = [tex]\sqrt{16}[/tex] · [tex]\sqrt{10}[/tex] = 4[tex]\sqrt{10}[/tex]