Solution:
Given is a right angled triangle
The figure is attached below
AC = BC
AB = 6
To find: length of each legs
Let AC = BC = x units
AB = 6 units
By Pythagoras theorem,
[tex]AB^2 =AC^2+BC^2[/tex]
Substituting the values we get,
[tex]6^2 = x^2+x^2\\\\36 = 2x^2\\\\x^2 = 18\\\\x = \sqrt{18}\\\\x = 4.2426[/tex]
Thus, length of each legs is 4.2426 units
