The three legs of a triangle have lengths $7$ cm, $7$ cm, and $12$ cm.  

1. What are the measures of the angles?

   Hint (a):

   Use the Law of Cosines. Two of the angles will have the same measure since this is an isosceles triangle.

2. What is the area of the triangle?

   Hint (b):

   $\text{area}= \frac{1}{2}ab\sin(\theta)$