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The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?
Cosines Rule
Three points A, B and C lie in this order on a line, and P is any point in the plane. Use the Cosine Rule to prove the following statement.
Age 14 to 16
Challenge Level
What do the numbers refer to?
Are they the same value more than once during the dot's motion around the circle?
Are the three values connected and if so how?
Why not draw some graphs of the values to help explain what you find.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.