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ABC is an equilateral triangle with side length 4. If the distance between a, B, C and plane a is the root sign 3, how many are there?
5
There are two parallel to ABC
The height of an equilateral triangle is twice the root sign 3, so the other three planes pass through the middle of the three sides and are perpendicular to the triangle ABC
Conclusion: in this kind of problem, if it is an equilateral triangle, the distance D is greater than half of the height, there are two such faces;
The distance is equal to half of the height, so there are five faces;
The distance is less than half of the height. There are eight such faces
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