Home Geometry Problems All Problems Semiperimeter 341-350 Post a comment        By Antonio Gutierrez
Problem 343. Hexagon, Inscribed Circle, Tangent, Semiperimeter.
Level: High School, College, SAT Prep.

The figure shows a hexagon ABCDEF with the inscribed circle O. If s is the semiperimeter of the hexagon,
prove that s = AB + CD + EF = BC + DE + AF.
 

Circumscribed hexagon, tangent, semiperimeter
 


 

Geometry problem solving is one of the most challenging skills for students to learn. When a problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."

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