MHB Geometric Shapes in Everyday Life

AI Thread Summary
Geometric shapes are prevalent in everyday life, often found in nature and human-made structures. Common examples include circles in wheels and clocks, triangles in rooftops and road signs, and rectangles in doors and windows. The discussion emphasizes the importance of recognizing these shapes in various contexts, such as architecture and natural formations. Participants are encouraged to explore visual resources online to identify these shapes further. Understanding geometric shapes enhances appreciation of both the natural world and design elements in daily life.
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What are the geometric shapes that you can find in daily life?
 
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Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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