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IMAS 2024–2025 — Middle Primary — Round 2 Question 9

IMAS · IMAS 2024–2025 — Middle Primary — Round 2

Question 9

An equilateral triangle of integral side length, in cm, is said to be “good” if we can use some number of pieces of an isosceles trapezoid of side lengths 1 cm, 1 cm, 1 cm and 2 cm, to completely cover the triangle. (Note that the isosceles trapezoids join side by side and cannot overlap.)

Question illustration

What is the minimum possible side length, in cm, of a “good” triangle with side length equal to or greater than 10 cm?