Answer:
y = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
y² = product of the segments on the hypotenuse of the large right triangle.
y² = 4 × 16 = 48 ( take square root of both sides )
y = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
