Änderungen von Dokument BPE 5.2 Kongruenz, Kongruenzsätze und Konstruierbarkeit

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...	...	@@ -17,38 +17,15 @@
17	17	Beurteile für jede der folgenden Dreierangaben, ob damit ein Dreieck eindeutig konstruierbar, mehrdeutig konstruierbar oder nicht existent ist.
18	18	Begründe deine Entscheidung mithilfe geeigneter geometrischer Argumente, beispielsweise Kongruenzsätzen, der Winkelsumme im Dreieck, der Dreiecksungleichung oder Lageargumenten.
19	19	(% class="abc" %)
20		-a) {{formula}}\alpha = 63^\circ{{/formula}},
21		- {{formula}}b = 5{,}7\ \text{cm}{{/formula}},
22		- {{formula}}c = 12{,}8\ \text{cm}{{/formula}}
	20	+1. {{formula}}\alpha = 63^\circ{{/formula}}, {{formula}}b = 5{,}7\ \text{cm}{{/formula}}, {{formula}}c = 12{,}8\ \text{cm}{{/formula}}
	21	+1. {{formula}}\beta = 53^\circ{{/formula}}, {{formula}}b = 4{,}5\ \text{cm}{{/formula}}, {{formula}}c = 5{,}0\ \text{cm}{{/formula}}
	22	+1. {{formula}}a = 6\ \text{cm}{{/formula}}, {{formula}}\beta = 42^\circ{{/formula}}, {{formula}}\gamma = 28^\circ{{/formula}}
	23	+1. {{formula}}a = 3\ \text{cm}{{/formula}}, {{formula}}\beta = 103^\circ{{/formula}}, {{formula}}\gamma = 87^\circ{{/formula}}
	24	+1. {{formula}}\alpha = 60^\circ{{/formula}}, {{formula}}\beta = 23^\circ{{/formula}}, {{formula}}\gamma = 97^\circ{{/formula}}
	25	+1. {{formula}}\alpha = 50^\circ{{/formula}},{{formula}}\beta = 60^\circ{{/formula}}, {{formula}}\gamma = 55^\circ{{/formula}}
	26	+1. {{formula}}a = 8\ \text{cm}{{/formula}}, {{formula}}b = 4{,}5\ \text{cm}{{/formula}}, {{formula}}c = 5{,}0\ \text{cm}{{/formula}}
	27	+1. {{formula}}a = 12\ \text{cm}{{/formula}}, {{formula}}b = 6\ \text{cm}{{/formula}}, {{formula}}c = 5\ \text{cm}{{/formula}}
23	23
24		-b) {{formula}}\beta = 53^\circ{{/formula}},
25		- {{formula}}b = 4{,}5\ \text{cm}{{/formula}},
26		- {{formula}}c = 5{,}0\ \text{cm}{{/formula}}
27		-
28		-c) {{formula}}a = 6\ \text{cm}{{/formula}},
29		- {{formula}}\beta = 42^\circ{{/formula}},
30		- {{formula}}\gamma = 28^\circ{{/formula}}
31		-
32		-d) {{formula}}a = 3\ \text{cm}{{/formula}},
33		- {{formula}}\beta = 103^\circ{{/formula}},
34		- {{formula}}\gamma = 87^\circ{{/formula}}
35		-
36		-e) {{formula}}\alpha = 60^\circ{{/formula}},
37		- {{formula}}\beta = 23^\circ{{/formula}},
38		- {{formula}}\gamma = 97^\circ{{/formula}}
39		-
40		-f) {{formula}}\alpha = 50^\circ{{/formula}},
41		- {{formula}}\beta = 60^\circ{{/formula}},
42		- {{formula}}\gamma = 55^\circ{{/formula}}
43		-
44		-g) {{formula}}a = 8\ \text{cm}{{/formula}},
45		- {{formula}}b = 4{,}5\ \text{cm}{{/formula}},
46		- {{formula}}c = 5{,}0\ \text{cm}{{/formula}}
47		-
48		-h) {{formula}}a = 12\ \text{cm}{{/formula}},
49		- {{formula}}b = 6\ \text{cm}{{/formula}},
50		- {{formula}}c = 5\ \text{cm}{{/formula}}
51		-
52	52
53	53	1. {{formula}}\alpha = 63^\circ; \ b = 5,\! 7\text{ cm}; \ c = 12,\! 8\text{ cm}{{/formula}}
54	54	1. {{formula}}\beta = 53^\circ; \ b = 4, \! 5\text{ cm}; \ c = 5\text{ cm}{{/formula}}