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intersection of a plane and a pyramid 1992 Kyiv City MO 11.5

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July 20, 2021
geometry3D geometrypyramid

Problem Statement

The base of the pyramid is a triangle ABCABC, in which ∠ACB=30o\angle ACB= 30^o, and the length of the median from the vertex BB is twice less than the side ACAC and is equal to α\alpha . All side edges of the pyramid are inclined to the plane of the base at an angle aa. Determine the cross-sectional area of ​​the pyramid with a plane passing through the vertex BB parallel to the edge ADAD and inclined to the plane of the base at an angle of β\beta,
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