Given:
ABC is a right triangle and AC = BC
The length of AB is [tex]AB=12\sqrt{2}[/tex]
We need to determine the length of each of the legs.
Length of AC and BC:
Let the length of AC and BC be x.
The length of AC and BC can be determined using the Pythagorean theorem.
Thus, we have;
[tex]AB^2=AC^2+CB^2[/tex]
Substituting the values, we have;
[tex](12\sqrt{2})^2=x^2+x^2[/tex]
Simplifying, we get;
[tex]288=2x^2[/tex]
Dividing both sides by 2, we get;
[tex]144=x^2[/tex]
Taking square root on both sides, we get;
[tex]12=x[/tex]
Thus, the length of each legs is 12 units.
Hence, the length of AC and BC are 12 units each.
