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pyramid, parallelogram base

Source: Serbia & Montenegro 2001 3,4th Grade P4

June 2, 2021
geometry3D geometrypyramidparallelogram

Problem Statement

Parallelogram ABCDABCD is the base of a pyramid SABCDSABCD. Planes determined by triangles ASCASC and BSDBSD are mutually perpendicular. Find the area of the side ASDASD, if areas of sides ASB,BSCASB,BSC and CSDCSD are equal to x,yx,y and zz, respectively.
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