Answer:
a = 4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
pythagorean theorem:
a² + 8² = 12²
a² + 64 = 144
a² = 80
a = [tex]\sqrt{80}[/tex]
a = [tex]\sqrt{4}[/tex]·[tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex] which simplifies to be 4[tex]\sqrt{5}[/tex]
