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    Geometry Theorem Proof

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    Prove that an interior angle bisector of any triangle divides the side of the triangle opposite the angle into segments proportional to the adjacent sides.

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    https://brainmass.com/math/triangles/geometry-theorem-proof-184240

    Solution Preview

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    Prove that an interior angle bisector of any triangle divides the side of the triangle opposite the angle into segments proportional to the adjacent sides.

    Statement Reason
    1 Bisector of angle ABC intersects line AC at a point D between A and C. Betweenness axiom. (The angle bisector is between the ray BA and the ray BC.)
    2 Angle ABD equals angle DBC. Definition of angle bisector.
    3 There is a line L through A parallel to the line BD. Existence of parallel ...

    Solution Summary

    Two-column proof, with Statements and Reasons is provided.

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