MathDB

7

Part of 2015 ISI Entrance Examination

Problems(1)

What are the sidelengths of the triangle ?

Source: ISI Entrance 2015

5/10/2015
Let γ1,γ2,γ3\gamma_1, \gamma_2,\gamma_3 be three circles of unit radius which touch each other externally. The common tangent to each pair of circles are drawn (and extended so that they intersect) and let the triangle formed by the common tangents be △XYZ\triangle XYZ . Find the length of each side of △XYZ\triangle XYZ
geometrycirclesTriangles