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Part of 2009 Bosnia and Herzegovina Junior BMO TST

Problems(1)

Bosnia and Herzegovina JBMO TST 2009 Problem 1

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2009

9/17/2018
Lengths of sides of triangle ABCABC are positive integers, and smallest side is equal to 22. Determine the area of triangle PP if vc=va+vbv_c = v_a + v_b, where vav_a, vbv_b and vcv_c are lengths of altitudes in triangle ABCABC from vertices AA, BB and CC, respectively.
geometryareaaltitudesnumber theory