HMMT 2024 G1
- Geometry
- Answer
Inside an equilateral triangle of side length 6 , three congruent equilateral triangles of side length with sides parallel to the original equilateral triangle are arranged so that each has a vertex on a side of the larger triangle, and a vertex on another one of the three equilateral triangles, as shown below.
A smaller equilateral triangle formed between the three congruent equilateral triangles has side length 1. Compute .
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{5}{3}
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