Counting Parallelogram Pyramids

★ 7/10combinatorics Counting solid geometry Casework

Problem

A quadrilateral pyramid has one lateral edge perpendicular to its base, its base is a parallelogram, and the set of lengths of its $8$ edges is $\{1,\sqrt 2,\sqrt 3\}$ . Find the number of such pyramids.

Answer

Solution

Difficulty	7/10
Topics	combinatorics, Counting, solid geometry, Casework

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.