7
Problems(2)
SMT 2009 Geometry 7
Source:
12/27/2011
Four disks with disjoint interiors are mutually tangent. Three of them are equal in size and the fourth one is smaller. Find the ratio of the radius of the smaller disk to one of the larger disks.
geometryratio
SMT 2009 Team #7
Source:
2/11/2012
An isosceles trapezoid has legs and shorter base of length . Find the maximum possible value of its area
geometrytrapezoidcalculustrigonometryrectanglederivativefunction