IMO Shortlist 1960 problem 4
Dodao/la:
arhiva2. travnja 2012. Construct triangle
![ABC](/media/m/a/c/7/ac75dca5ddb22ad70f492e2e0a153f95.png)
, given
![h_a](/media/m/f/0/d/f0d769bf3f52b4178084ce3b3d441a05.png)
,
![h_b](/media/m/d/0/6/d06cba1bca5b7f72a98766245f3d8085.png)
(the altitudes from
![A](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
and
![B](/media/m/c/e/e/ceebc05be717fa6aab8e71b02fe3e4e3.png)
), and
![m_a](/media/m/7/0/f/70f036394b3e46bd4862186d92f1b22f.png)
, the median from vertex
![A](/media/m/5/a/e/5ae81275ee67d638485e903bdc0e9cde.png)
.
%V0
Construct triangle $ABC$, given $h_a$, $h_b$ (the altitudes from $A$ and $B$), and $m_a$, the median from vertex $A$.
Izvor: Međunarodna matematička olimpijada, shortlist 1960