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https://texercises.com/exercise/rechtwinklige-dreiecke-1/
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The following quantities appear in the problem: Winkel \(\theta\) /
The following formulas must be used to solve the exercise: \(\cos\alpha = \dfrac{b}{c} \quad \) \(\sin\alpha = \dfrac{a}{c} \quad \) \(\tan\alpha = \dfrac{a}{b} \quad \)
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Exercise:
Berechne in den folgen drei rechtwinkligen Dreiecken jeweils auf direktem Weg die gesuchte Grösse. Der Rechnungsweg muss ersichtlich sein. center tikzpicture filldrawfillblue!!white -- arc:.:--cycle; drawthick ----.--cycle; node at -. cm; nodecolorblue at . ang.; nodecolorred at .. ?; pgftransformxshiftcm; filldrawfillblue!!white -- arc:.:--cycle; drawthick ------cycle; node at -. cm; nodecolorblue at .. ang.; nodecolorred at .. ?; pgftransformxshiftcm; filldrawfillblue!!white -- arc:.:--cycle; drawthick ------cycle; noderotate at . cm; noderotate. at .. .cm; nodecolorred at .. ?; tikzpicture center

Solution:
abcliste abc b atanang. .cm abc c fracacosang. .cm abc alpha arcsinleftfracbcright ang. abcliste
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Exercise:
Berechne in den folgen drei rechtwinkligen Dreiecken jeweils auf direktem Weg die gesuchte Grösse. Der Rechnungsweg muss ersichtlich sein. center tikzpicture filldrawfillblue!!white -- arc:.:--cycle; drawthick ----.--cycle; node at -. cm; nodecolorblue at . ang.; nodecolorred at .. ?; pgftransformxshiftcm; filldrawfillblue!!white -- arc:.:--cycle; drawthick ------cycle; node at -. cm; nodecolorblue at .. ang.; nodecolorred at .. ?; pgftransformxshiftcm; filldrawfillblue!!white -- arc:.:--cycle; drawthick ------cycle; noderotate at . cm; noderotate. at .. .cm; nodecolorred at .. ?; tikzpicture center

Solution:
abcliste abc b atanang. .cm abc c fracacosang. .cm abc alpha arcsinleftfracbcright ang. abcliste
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Attributes & Decorations
Tags
dreieck, geometrie, mathematik
Difficulty
(1, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image