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2023 WSMO Tiebreaker Round Problems/Problem 3

Revision as of 15:39, 2 May 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>S</math> be the set of all values of <math>a</math> such that the area of a triangle with side lengths <math>5, 7, a</math> is a positive integer. Find...")
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Problem

Let $S$ be the set of all values of $a$ such that the area of a triangle with side lengths $5, 7, a$ is a positive integer. Find $\sum_{x\in S}\left(x^2\right).$

Solution

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