Answer: The length of AC can be 4, 5, 6, 7.
Explanation:
Since we have given that
In ABC,
As we know that "Sum of two sides is always greater than the third side",
So,
[tex]3+6>x\implies 9>x\\x+3>6\implies x>3\\x+6>3\implies x>-3[/tex]
Similarly,
in ADC,
As we know that "Sum of two sides is always greater than the third side",
[tex]4+4>x\implies 8>x\\4+x>4\implies x>0[/tex]
So, from two triangles, we get
Length of AC will be
[tex]3<x<8[/tex]
Hence, the length of AC can be 4, 5, 6, 7.
