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MATH / Let ABCDEFG be a regular heptagon with center O. Let M be the centroid of triangle ABD. Find cos²∠GOM.

Problem

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problem

Let ABCDEFGABCDEFG be a regular heptagon with center OO. Let MM be the centroid of triangle ABDABD. Find cos2∠GOM\cos^2 \angle GOM.
Plain-text mathematical notation (without MathML)
Let ABCDEFG be a regular heptagon with center O.  Let M be the centroid of triangle ABD.  Find cos²∠GOM.
Original LaTeX notation
Let $ABCDEFG$ be a regular heptagon with center $O$.  Let $M$ be the centroid of triangle $ABD$.  Find $\cos^2 \angle GOM$.

level

Level 5

type

Precalculus

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Source and history

task_id
2911cb0f-82b4-5d30-9b5a-135dc1d4e8a7
task_key
precalculus--test--2911cb0f-82b4-5d30-9b5a-135dc1d4e8a7
task_revision_id
1
config / split
precalculus / test

Official source

initial import