Tuesday, March 11, 2014

Geometric Sydney


















While I was visiting Australia over February break with my mom, I took a head on picture of the Sydney Opera House from a ferry I was on.  From this picture, you can see the demonstration of Theorem 4-7, which states - "If a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle.  The solid green line down the center is the angle bisector, as the other two green lines on the sides are the sides of the angle, which is 91.84 degrees.  It then split the angle into two smaller angles of 45.92 degrees each.  I then constructed a point on the line and connected it to the two sides, showing that they are each the same distance, 2.39 cm. (~JG2)

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