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IMC 2012 — Keystage 3 (IWYMIC) — individual Question 2

xIMC · IMC 2012 — Keystage 3 (IWYMIC) — individual

Question 2

A semicircle sits on top of a square and is tangent to the two sloping sides of an equilateral triangle, as shown; the triangle and square bases lie on the same line. If each triangle side is twelve centimetres, find the semicircle radius.

Question illustration