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<C> 60^o if AB^3 = AC^3 +BC^3 (2018 VWO Flanders MO p1)

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August 8, 2020
geometryanglesGeometric Inequalities

Problem Statement

In the triangle △ABC\vartriangle ABC we have ∣AB∣3=∣AC∣3+∣BC∣3| AB |^3 = | AC |^3 + | BC |^3. Prove that ∠C>60o\angle C> 60^o .
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