File:Lexell's theorem via a Saccheri quadrilateral.png
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Summary
| Description |
English: Lexell's theorem can be proved using a Sacherri quadrilateral ABB'A'. If m is the line connecting the midpoints M1 and M2 of sides AC and BC, let A', B', and C' be the perpendicular projections of the triangle vertices onto m. Then the red triangles AA'M1 and CC'M1 are congruent, as are the blue triangles BB'M2 and CC'M2. Therefore the area of triangle ABC is equal to the area of Sacherri quadrilateral ABB'A'.
Plotted with Desmos. Interactive version: https://www.desmos.com/geometry-beta/oihbmn4rc6 |
| Date | |
| Source | Own work |
| Author | Jacob Rus |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:08, 9 July 2023 | | 1,226 × 1,226 (404 KB) | wikimediacommons>Jacobolus | mark right angles |
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