Final answer:
The length of one of the legs is 18. An isosceles triangle has any 2 of its sides equal.
Step-by-step explanation:
In an isosceles triangle, the two legs are equal in length. In this case, we need to find the length of one of the legs. Let's set AB and AC as equal:
4x - 14 = x + 10
4x - x = 10 + 14
3x = 24
x = 8
Now, substitute the value of x back into AB or AC to find the length of one of the legs:
AB = 4(8) - 14 = 32 - 14 = 18
The length of one of the legs is 18.