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MathNet 1999 — Part 01 Question 83

Math Olympiad Vault · MathNet 1999 — Part 01

Question 83

In an isosceles trapezoid, a diagonal is $22~\mathrm{cm}$ long; it is also known that this diagonal forms an angle of $45^\circ$ with the larger base. What is the area of ​​the trapezoid?
  1. $121~\mathrm{cm}^2$
  2. $242~\mathrm{cm}^2$
  3. none of the above.
  4. $484~\mathrm{cm}^2$
  5. the data is insufficient