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square on a sphere

Source: Serbia & Montenegro 2001 2nd Grade P2

June 2, 2021
geometry3D geometrysphere

Problem Statement

Vertices of a square ABCDABCD of side 254\frac{25}4 lie on a sphere. Parallel lines passing through points A,B,CA,B,C and DD intersect the sphere at points A1,B1,C1A_1,B_1,C_1 and D1D_1, respectively. Given that AA1=2AA_1=2, BB1=10BB_1=10, CC1=6CC_1=6, determine the length of the segment DD1DD_1.
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