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661 - Math - Problem Solving

Math - Problem Solving MCQ No. : 24537

Question: Point Q lies at the center of the square base (ABCD) of the pyramid pictured above. The pyramid's height (PQ) measures exactly one half the length of each edge of its base, and point E lies exactly halfway between C and D along one edge of the base. What is the ratio of the surface area of any of the pyramid's four triangular faces to the surface area of the shaded triangle?

  1. 3 :v2
  2. v5:1
  3. 4v3:3
  4. 2v2:1
  5. 8:v5

Correct Answer: D

Explanation:

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