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MathNet 2018-part-04 — 181 problems (EN–VI) Question 35

Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)

Question 35

In the figure below, the incircle of the isosceles triangle has radius $3$. The smaller circle is tangent to the incircle and the two congruent sides of the triangle. If the smaller circle has radius $2$, find the length of the base of the triangle.

Question illustration