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2025 SSMO Speed Round Problems/Problem 6

Revision as of 11:10, 9 September 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== The centroid <math>G</math> of <math>\triangle{ABC}</math> has distances <math>21,</math> <math>60,</math> and <math>28</math> from sides <math>AB,</math> <math>B...")
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Problem

The centroid $G$ of $\triangle{ABC}$ has distances $21,$ $60,$ and $28$ from sides $AB,$ $BC,$ and $CA,$ respectively. Find the perimeter of $\triangle{ABC}$.

Solution

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