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UKMT Pink Kangaroo, 2024

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A point is chosen inside an equilateral triangle. From this point we draw three segments parallel to the sides, as shown. The lengths of the segments are $2$ m, $3$ m and $6$ m. What is the perimeter of the triangle?

(A) $22\text{ m}$ (B) $27\text{ m}$ (C) $33\text{ m}$ (D) $39\text{ m}$ (E) $44\text{ m}$

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