Y by bobjoe123, HamstPan38825, Adventure10, Rounak_iitr
Two incongruent triangles and are called a pair of pals if they satisfy the following conditions:
(a) the two triangles have the same area;
(b) let and be the respective midpoints of sides and . The two sets of lengths and are identical -element sets of pairwise relatively prime integers.
Determine if there are infinitely many pairs of triangles that are pals of each other.
(a) the two triangles have the same area;
(b) let and be the respective midpoints of sides and . The two sets of lengths and are identical -element sets of pairwise relatively prime integers.
Determine if there are infinitely many pairs of triangles that are pals of each other.