File:Triangle180proof.png
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English: Proof that the sum of angles in a triangle is 180 degrees: draw a parallel line to the base of the triangle that intersects the vertex of . Because the lines are parallel, the following angles are equal . Now, form a flat angle and thus and because of the above equalities . Q.E.D.
עברית: הוכחה שסכום הזוויות במשולש הוא 180 מעלות: נצייר קו מקביל לבסיס המשולש, שחותך את המשולש בקודקוד של . מכיוון ש- יוצרים זווית שטוחה אזי . כעת, בגלל שצלעות המשולש הצדדיות חותכות שני קווים מקבילים מתקיימים השוויונות הבאים בין הזוויות: . נציב זאת בשוויון לעיל ונקבל: , כלומר: סכום הזוויות במשולש שווה 180 מעלות. מ.ש.ל. |
| Source | Own work |
| Author | MathKnight |
| Other versions | Derivative works of this file: Similar triangles.png |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
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| current | 10:45, 21 May 2010 | | 430 × 251 (6 KB) | MathKnight (talk | contribs) | {{Information |Description={{en|1=Proof that the sum of angles in a triangle is 180 degrees: draw a parallel line to the base of the triangle that intersects the vertex of <math>\gamma </math>. Because the lines are parallel, the following angles |
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