[b]2. Solucione el triángulo ABC, rectángulo en C, si:[/b][br][img]data:image/png;base64,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[/img][br][b]1.Resolucion[br]Tenemos un triángulo rectángulo en C:[br][list][*][b]Cateto a:[/b] 5[br][/*][*][b]Cateto b:[/b] 3[/*][/list]Paso 1:Hallar la hipotenusa (c):[br][img]data:image/png;base64,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[/img][br]Paso2: Hallar los ángulos[br]Para el ángulo A: [/b][i]tan(A) [math]=\frac{a}{b}=\frac{5}{3}\Longrightarrow A[/math]=[math]tan^{-1}\left(1.66\right)=59.04°[/math][br][/i][b]Para el angulo B: [math]B=90°-50.04°=30.96°[/math][br][/b]