Find a way to decompose ∆ABC and its interior into five subtriangles, each similar to the original triangle ∆ABC, if
(a) the given triangle is a right triangle
(b) the given triangle is isosceles, with angles of measure 30, 30, and 120.
NOTE: A recent theorem due to Werner Raffke ["Partitions of Triangles," Beitrage Algebra Geometry, No. 32 (1991), pp. 87-93] shows that the triangles described in (a) and (b) above are the only ones that allow such a decomposition.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.