You can find are of any triangle by HERON'S fromula if all its sides are known.
Here Sides are - 5 cm, 12 cm and 13 cm.
So, s = (a+b+c+)/2 where a,b, and c are sides of triangle
s = (5+12+13)/2 = 30/2 = 15
Area = \sqrt{s(s-a)(s-b)(s-c)}
Area = \sqrt{15(15-5)(15-12)(15-13)} = \sqrt{15(10)(3)(2)} = \sqrt{(150)(6)} = \sqrt{900}
So, Area = 30 cm^{2}