MathProblemsBank

5.2.4.33 Various problems on the plane

Condition: In a parallelogram \( A B C D \), the length of the diagonal \( B D \) is equal to 2, the angle \( C \) is equal to \( 45^{\circ} \), and the straight line \( C D \) is tangent to the circumcircle of the triangle \( A B D \). Find the area of ​​the parallelogram \( A B C D \).

-> Various problems on the plane