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3D Figures

GeoGebra is particularly useful for showing 3D objects in a dynamic way. Also, we can easily construct simple 3D geometric objects like cubes, cones, pyramids, prism and so on in GeoGebra. The following is an example of a wedge, a type of 3D objects that we often use when teaching 3D trigonometry.
Classwork: The following is a part of a question in HKDSE 2019 Math (Core part) Exam. The following shows a tetrahedron ABCD. Let P be a point lying on AD such that BP is perpendicular to AD. A craftsman finds that AC = AD = CD = 13 cm, BC = 8 cm, BD = 12 cm and . Find (i) , and (ii) CP
Image
Draw this tetrahedron in the GeoGebra applet below. It is not easy! My solution is here.