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BartSMP [9]
3 years ago
5

Does anyone know how to do this? MATH ANSWERS ONLY ​

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0

Answer:

<em>34.2 ; 105.8 ; 12.0</em>

Step-by-step explanation:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

c² = a² + b² - 2abcosC

~~~~~~~~~~~~

sinB = \frac{bsinA}{a}

sinB = 7sin40° ÷ 8 ≈  0.562439

<em>m∠B</em> ≈ <em>34.2°</em>

<em>m∠C</em> = 180° - ( 40° + 34.2° ) = <em>105.8°</em>

c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87

<em>c </em>≈ <em>12.0 </em>units

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