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• 2000 AIME II Problems/Problem 10
  Just use the area formula for tangential quadrilaterals. The numbers are really big. A terrible problem to work on (<math>a, b, c,<
  2 KB (399 words) - 17:37, 2 January 2024
• 2004 USAMO Problems/Problem 1
  By a well-known property of tangential quadrilaterals, the sum of the two pairs of opposite sides are equal; hence <math>a + c =
  4 KB (647 words) - 16:28, 1 September 2021
• 2011 AMC 12A Problems/Problem 24
  Consider all quadrilaterals <math>ABCD</math> such that <math>AB=14</math>, <math>BC=9</math>, <math>CD Note as above that ABCD must be tangential to obtain the circle with maximal radius. Let <math>E</math>, <math>F</math
  5 KB (826 words) - 13:49, 4 September 2024
• 1998 USAMO Problems/Problem 6
  ...<math>A_{1}A_{2}\dots A_{n}</math> for which exactly <math>k</math> of the quadrilaterals <math>A_{i}A_{i+1}A_{i+2}A_{i+3}</math> have an inscribed circle. (Here <ma ...math>, then quadrilateral <math>A_{i+1}A_{i+2}A_{i+3}A_{i+4}</math> is not tangential.
  5 KB (871 words) - 18:59, 10 May 2023
• 2025 AIME I Problems/Problem 6
  Next, we use Pitot's Theorem which states for tangential quadrilaterals <math>AB+CD=AD+BC.</math> Since we are given <math>ABCD</math> is an isosce
  6 KB (859 words) - 08:26, 28 February 2025