Answer:
34.2 ; 105.8 ; 12.0
Step-by-step explanation:
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
c² = a² + b² - 2abcosC
~~~~~~~~~~~~
sinB = [tex]\frac{bsinA}{a}[/tex]
sinB = 7sin40° ÷ 8 ≈ 0.562439
m∠B ≈ 34.2°
m∠C = 180° - ( 40° + 34.2° ) = 105.8°
c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87
c ≈ 12.0 units
