I am stuck on this problem for the past few days and I can't completely figure it out.....
I have to figure out the area of this triangle with side lengths $25,39,56$ using right angled triangles.
I previously did a question which had a triangle with sides $13,14,15$ like this, using right triangles $9,12,15$ and $5,12,13$
However I can't make any such combination from $25,39,56$.. I computed the area using Heron's to find any combination... As the area is $420$ I thought to find a side which would give an integer height which turns out to be $15$ on base $56$...
But I can't find any right triangle with side $15$ which would yield the solution..
Can somebody provide me any insight on how should I proceed?