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MYTS 2017 - Grade 7 - Round 1 Question 10

MYTS · MYTS 2017 - Grade 7 - Round 1

Question 10

Four unit circles are described in the source as “pairwise tangent”, arranged as shown. Each side of the rectangle is tangent to exactly one circle. Its length is ℓ=c+a√b, where a,b,c are positive integers and b is not a perfect square. Find a+b+c.

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