12 thoughts on “Fibonacci in Geometry – some examples

  1. Sir, is it possible that, In the first question, As A & B are the mid points and the line joining the midpoints in an Equilateral triangle must pass from the center of the triangle. If we consider this, then we get MN as Diameter of the circle.

  2. Sir,

    In the 2nd sum, with prior knowledge of golden ratio, we could have easily said that the answer would be the reciprocal of the golden ratio!

      • Once we have proved it (which we have above), then in future we can directly use it because we know it will be applicable! Proving stuff to yourself is a key thing in Geometry – it helps you apply the right theorem/formula/concept at the right time.

        regards
        J

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