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Victoria003go
Answered

Solve the triangle.

B = 36°, a = 41, c = 20

choices:
b ≈ 27.5, C ≈ 115.5, A ≈ 28.5
b ≈ 45.3, C ≈ 25.5, A ≈ 118.5
b ≈ 45.3, C ≈ 29.5, A ≈ 114.5
b ≈ 27.5, C ≈ 25.5, A ≈ 118.5

Answer :

Answer:

Step-by-step explanation:

because c is shorter than a we know C is a smaller angle than A

so the first choice is out.

use the law of cosines to find b

[tex]b^{2}[/tex] = [tex]a^{2} +c^{2} -2*a*c*cos(B)[/tex]

[tex]b^{2}[/tex] =1681+400-1326.787871

[tex]b^{2}[/tex]= 754.21219

b= [tex]\sqrt{754.21219}[/tex]

b= 27.46292

so the last choice looks good

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