Geometry › Polygons › Angles in pentagons

Cosine squared in a heptagon

High school · ●●●●○ 100 pts

Let ABCDEFGABCDEFG be a regular heptagon with center OO. Let MM be the centroid of triangle ABDABD. Find cos⁡2∠GOM\cos^2 \angle GOM. Give your answer as a decimal.

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regular polygonsroots of unitycentroidlaw of cosines