Respuesta :

Answer:

x = [tex]\sqrt{8 }[/tex] or [tex]2\sqrt{2}[/tex]

Step-by-step explanation:

given that the triangle is isosceles, meaning that there are two equal sides

we can set up the equation as

[tex]4^2 = a^2 + a^2 \\16 = 2a^2 \\8 = a^2 \\\sqrt{8} = a \\a = 2\sqrt{2}[/tex]