MathDB

1

Part of 2002 China Second Round Olympiad

Problems(1)

Triangle altitudes

Source: 2002 China Second Round Olympiad

8/30/2014
In △ABC\triangle ABC, ∠A=60\angle A = 60, AB>ACAB>AC, point OO is the circumcenter and HH is the intersection point of two altitudes BEBE and CFCF. Points MM and NN are on the line segments BHBH and HFHF respectively, and satisfy BM=CNBM=CN. Determine the value of MH+NHOH\frac{MH+NH}{OH}.
geometrycircumcircletrigonometry