MathDB

2012.10

Part of Ukraine Correspondence MO - geometry

Problems(1)

equal sums of 2 sides, cyclic ABCD, <BAD = 60^o, AO = 3OC

Source: 2012 All-Ukrainain Correspondence MO of magazine ''In the World of Mathematics'', grades 5-12 p10

4/26/2021
The diagonals ACAC and BDBD of the cyclic quadrilateral ABCDABCD intersect at a point O. It is known that ∠BAD=60o\angle BAD = 60^o and AO=3OCAO = 3OC. Prove that the sum of some two sides of a quadrilateral is equal to the sum of the other two sides.
geometryequal segmentscyclic quadrilateralUkraine Correspondence