MathDB

3

Part of 2008 Argentina National Olympiad

Problems(1)

area wanted, circle of center O, <AOB = 120^o,AD = 2, BD = 1, CD = \sqrt2

Source: 2008 Argentina OMA L3 p3

6/17/2020
On a circle of center OO, let AA and BB be points on the circle such that ∠AOB=120o\angle AOB = 120^o. Point CC lies on the small arc ABAB and point DD lies on the segment ABAB. Let also AD=2,BD=1AD = 2, BD = 1 and CD=2CD = \sqrt2. Calculate the area of triangle ABCABC.
geometryarea of a triangleareacircle