Integer-sided isosceles triangle with area equal to $120$ BdMO National 2013 Junior Q. 2:

Two isosceles triangles are possible with 120 square unit area of each and length of edges are integers. Such one is  with 17, 17 and 16 unit edges. Determine the length of edges of second one. [Hint: In $ \bigtriangleup ABC $ if $ AB = AC $ and $ AD $ is perpendicular to $ BC $ then $  BD = CD $ .]

Please help me, or just give me a hint to solve this problem.

Take the solution you have, cut it along the axis of symmetry and rearrange to another isosceles triangle.
