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 <question type="category"><category><text>1MA 02. RESOLUCIÓ DE TRIANGLES/1MA.02.1 Resolució de triangles rectangles/1MA.02.1.1 Resolució segons els costats i//o l'angle coneguts</text></category></question>
 
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      <text>1MA.02.1.1.10 DT  PITÀGORES RAONS</text>
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<p><span style="font-size: large;">Teorema de Pitàgores</span></p>
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<div style="text-align: justify;"><span style="color: #003300;"><span style="font-size: small;"><strong>1. Coneguts b i c, s'aplica el teorema de Pitàgores per trobar la hipotenusa a:   </strong></span><strong style="color: #000080; font-size: small; text-align: left; line-height: 1.4;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»a«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»=«/mo»«msqrt mathcolor=¨#00007F¨»«msup»«mi mathvariant=¨bold¨»b«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨»+«/mo»«msup»«mi mathvariant=¨bold¨»c«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«/msqrt»«/mrow»«/mstyle»«/math». </strong></span></div>
<div style="text-align: justify;"><span style="color: #003300;"><strong style="color: #000080; font-size: small; text-align: left; line-height: 1.4;">2. </strong></span><strong style="color: #003300; font-size: small; text-align: left; line-height: 1.4;">Si es coneix a i b (o a i c) es calcula el costat que falta amb</strong><span style="color: #003300;"><strong style="color: #000080; font-size: small; text-align: left; line-height: 1.4;"> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»c«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»=«/mo»«msqrt mathcolor=¨#00007F¨»«msup»«mi mathvariant=¨bold¨»a«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨»-«/mo»«msup»«mi mathvariant=¨bold¨»b«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«/msqrt»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»o«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»b«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»=«/mo»«msqrt mathcolor=¨#00007F¨»«msup»«mi mathvariant=¨bold¨»a«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨»-«/mo»«msup»«mi mathvariant=¨bold¨»c«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«/msqrt»«/mrow»«/mstyle»«/math»</strong></span></div>
<div style="text-align: justify;"><span style="color: #003300; font-size: small;"><strong>3. Per determinar els angles aguts, es fan servir les raons trigonomètriques: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»B«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»=«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»a«/mi»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»s«/mi»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»i«/mi»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»n«/mi»«mfrac mathcolor=¨#00007F¨»«mi mathvariant=¨bold¨ mathsize=¨12px¨»b«/mi»«mi mathvariant=¨bold¨ mathsize=¨12px¨»a«/mi»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»§#8201;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»C«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»=«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»a«/mi»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»s«/mi»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»i«/mi»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨ mathsize=¨12px¨»n«/mi»«mfrac mathcolor=¨#00007F¨»«mi mathvariant=¨bold¨ mathsize=¨12px¨»c«/mi»«mi mathvariant=¨bold¨ mathsize=¨12px¨»a«/mi»«/mfrac»«mstyle mathsize=¨12px¨/»«/math»</strong></span></div>
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<div><span style="color: #ffff99; font-size: large;">Raons trigonomètriques</span></div>
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<div><span style="color: #003300;"><span style="font-size: small;"><strong>sin B = b/a; cos B = c/a; tg B = b/c</strong></span></span></div>
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