Question:
Consider a square ABCD with midpoints E, F, G and H of sides AB, BC, CD and DA. Let L denote the line passing through F and H. Consider points P and Q on the line L inside the square such that the angles APD and BQC are both equal 120 degrees. What is the ratio ABQCDP to the remaining area of ABCD?
Consider a square ABCD with midpoints E, F, G and H of sides AB, BC, CD and DA. Let L denote the line passing through F and H. Consider points P and Q on the line L inside the square such that the angles APD and BQC are both equal 120 degrees. What is the ratio ABQCDP to the remaining area of ABCD?
Updated On: Jul 29, 2024
- \(\frac {4\sqrt 2}{3}\)
- \(2\sqrt 3-1\)
- \(2+\sqrt 3\)
- \(\frac {10-3\sqrt 3}{9}\)
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The Correct Option is B
Solution and Explanation
The correct option is (B): \(2\sqrt 3-1\).
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