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MathNet 2022-part-04 — 197 problems (EN–VI) Question 54

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 54

Let $I$ be the center of the incircle of triangle $ABC$. Suppose that this incircle has radius $3$, and that $AI = 5$. If the area of the triangle is $2022$, what is the length of $BC$?

(a) 670
(b) 672
(c) 1340
(d) 1344