Three Circles
Three circles of equal radius pairwise meet at tangent points A, B, and C. What's the ratio of the area of triangle ABC to the area of one of the circles?
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Triangles in a Pentagon
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Leo draws a convex pentagon, and then connects all its diagonal lines. How many triangles of all sizes are shown in Leo's picture?
Third Term
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In a sequence such that the next term in the sequence is the sum of the previous two terms.The sum of the first ten terms in the sequence is 231. The fifth term in the sequence is 13. What is the third term?