Respuesta :

a² + b² = c²
1² + b² = 2²
b² = 2² - 1²
b² = 4 - 1
b² = 3
b = √3 
b  1.73 (nearest hundredth)

Answer: b =  1.73

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[tex]\sin(\alpha) = \dfrac{\text {opp}}{\text{hyp}} [/tex]

[tex]\sin(\alpha) = \dfrac{\text {1}}{\text{2}} [/tex]

[tex]\alpha = \sin^{-1} \bigg ( \dfrac{1}{2} \bigg)[/tex]

[tex]\alpha = 30 \textdegree[/tex]

Answer: 30°

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[tex]\cos(\beta) = \dfrac{\text {adj}}{\text{hyp}} [/tex]

[tex]\cos(\beta) = \dfrac{\text {1}}{\text{2}} [/tex]

[tex]\beta = \cos^{-1} \bigg ( \dfrac{1}{2} \bigg)[/tex]

[tex]\beta = 60 \textdegree[/tex]

Answer: 60°