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Triangle Properties

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October 21, 2010
geometrytrigonometrygeometry unsolved

Problem Statement

Let a,b,ca,b,c denote the sides of a triangle and [ABC][ABC] the area of the triangle as usual.
(a)(a) If 6[ABC]=2a2+bc6[ABC] = 2a^2+bc, determine A,B,CA,B,C. (b)(b) For all triangles, prove that 3a2+3b2−c2≥43[ABC]3a^2+3b^2 - c^2 \ge 4 \sqrt{3} [ABC].
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