MathDB

1

Part of 2019 Stanford Mathematics Tournament

Problems(2)

SMT 2019 Geometry #1 semicircle

Source:

8/8/2023
Let ABCDABCD be a unit square. A semicircle with diameter ABAB is drawn so that it lies outside of the square. If EE is the midpoint of arc ABAB of the semicircle, what is the area of triangle CDECDE
geometry
SMT 2019 Geometry Tiebreaker #1

Source:

8/8/2023
Let ABCDABCD be a quadrilateral with ∠DAB=∠ABC=120o\angle DAB = \angle ABC = 120^o. If AB=3AB = 3, BC=2BC = 2, and AD=4AD = 4, what is the length of CDCD?
geometry