MathDB
2013 BMT Individual 12

Source:

January 18, 2022
algebra

Problem Statement

Triangle ABCABC satisfies the property that ∠A=alog⁡x\angle A = a \log x, ∠B=alog⁡2x\angle B = a \log 2x, and ∠C=alog⁡4x\angle C = a \log 4x radians, for some real numbers aa and xx. If the altitude to side ABAB has length 88 and the altitude to side BCBC has length 99, find the area of △ABC\vartriangle ABC.
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