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triangle inscribed in triangle, equal ratios - 2023 Chile NMO L1 P4

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May 19, 2024
ratiogeometryareas

Problem Statement

Let △ABC\vartriangle ABC be an equilateral triangle with side 11. The points PP, QQ, RR are chosen on the sides of the segments ABAB, BCBC, ACAC respectively in such a way that APPB=BQQC=CRRA=25.\frac{AP}{PB}=\frac{BQ}{QC}=\frac{CR}{RA}=\frac25. Find the area of triangle PQRPQR. https://cdn.artofproblemsolving.com/attachments/8/4/6184d66bd3ae23db29a93eeef241c46ae0ad44.png
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