Concave Pentagon Centroid

Geometry Level pending

Where is the centroids position in a equilateral pentagon located if the apex of the 108 degree interior angle of a regular concave pentagon is flipped inward toward the apothem in terms of the percentage of the unit side length? Give your answer to 2 decimal places.


The answer is 36.33.

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1 solution

W Rose
Jan 7, 2016

Area of Regular Pentagon x Apothem Distance of Regular Pentagon - Area of 108 degree Rhombus x Centroid Distance of 108 degree Rhombus from Regular Pentagon Base / Area of Regular Pentagon - Area of 108 degree Rhombus = Tan ( 36 ) / 2

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