2002 AMC 12P Problems/Problem 24
Problem
Let be a regular tetrahedron and Let be a point inside the face Denote by the sum of the distances from to the faces and by the sum of the distances from to the edges Then equals
Solution
We create a coordinate system for the point . Let be the distance from , and let be the distance , where is on and is parallel to . Call the distances from to , , and , , and , respectively.
See also
2002 AMC 12P (Problems • Answer Key • Resources) | |
Preceded by Problem 23 |
Followed by Problem 25 |
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All AMC 12 Problems and Solutions |
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