# Two difficult “Seventeen right isosceles triangles into a square” tilings

Five graded difficulty isosceles right triangle into square tilings

V.hard problem, 20 right isosceles triangles into a square

Each tiling has only one solution, these might be possible by hand, computers allowed.

The two challenges are to arrange $17$ right isosceles triangles of the listed areas into a square of area $968$ with no gaps or overlaps. The square has a diagonal of length $44$.

$1, 2, 4, 8, 9, 16, 18, 25, 32, 36, 49, 50, 64, 81, 162, 169, 242$ $1, 2, 4, 8, 9, 16, 25, 32, 36, 49, 50, 64, 98, 100, 121, 128, 225$

The answer tick will be given to whomever posts the solution to the second puzzle first, or the first if nobody gets the second. Only because the second looks slightly harder to me.

By way of illustration/clarification, here are the right isosceles triangles of area

$1, 2, 4, 9, 16, 18, 50$

arranged into a $10\times 10$ square:

• #pouts# the last one wasn't even solved yet! I'm still working on it lol – NL628 Apr 23 '18 at 4:01
• No rush. I'll give you another half hour. – theonetruepath Apr 23 '18 at 9:27