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Find the angle between the plane of a triangle and the longest diagonal in a cube

Here is the question of the video: EFGH-ABCD is a cube. HA is a diagonal in the plane HDAE. AC is a diagonal in the plane ABCD. CH is a diagonal in the plane CGHD. GD is the longest diagonal in the cube. What is the angle between the plane of the triangle HAC and the line segment GD?

If you are interested in the detail solution of this problem, please click the detail solution on how to find the relation between the longest diagonal and the triangle plane in a cube.