c=10.35
<a=50.87°
<b=87.13°
Step-by-step explanation:
as we know
law of cosine
[tex]c = \sqrt{ {a}^{2} + {b}^{2} - 2ab. \cos(c) } [/tex]
[tex]c = \sqrt{ {14}^{2} + {18}^{2} - 2.14.18 - \cos( {35}^{o} ) } [/tex]
[tex]c = 10.35[/tex]
using the law of cosine
[tex]cos(a) = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} [/tex]
[tex] \cos(a) = \frac{ {18}^{2} + {10.35 }^{2} - {14}^{2} }{2.18.(10.35)} [/tex]
[tex]a = {50.87}^{o} [/tex]
b=87.13°
