find the area of the triangle. please show all the work.

Answer:
Step-by-step explanation:
If triangle equilateral, then h = 3 × 4√3 = 12√3
If side of triangle is "x" , then length of the base is
x² - ( [tex]\frac{x}{2}[/tex] )² = ( 4√3 )²
4x² - x² = 192
x² = 64
x = 8
[tex]A_{triangle}[/tex] = 8 × 12√3 = 96√3