Two sides of a triangle are 6 and 13. What is the largest possible area of the triangle?

The largest area of the triangle with the sides of 6 units and 13 units is 39 units squared.

See Dragan's answer below.....

Sorry to say, but this is wrong!!

Semi-perimeter is 18.5

Should be: A = sqrt [18.5 (12.5)(5.5)(0.5)] = 25.21780125

btw, the right triangle with sides of 6 and 13 has a larger area.