Triangle ABC is right-angled at C, a = |BC|, b = |CA|, with a < b.
Squares ABDE, BCFG, and CAHI are erected externally to triangle ABC.
Lines HE and DG intersect at P, lines DG and FI intersect at Q, and lines FI and HE intersect at R.
If triangle PQR is right-angled, determine the value of b/a.
(In reply to re: Thank you Descartes. 3 solutions.
Because I hadn't looked at them. But now that you mention it triangle PQR is similar to ABC as is the little right triangle.
There are also two non-congruent obtuse triangles of equal area.
Posted by Jer
on 2010-01-24 02:24:13