How do you solve a triangle given angle A = 58.3°, angle B = 31.37°, side C = 9?

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Answer 1 · 2018-05-24T03:22:55

$color(maroon)(a = 7.66, b = 4.69$

$hat A = 58.3^@, hat B = 31.37^@, c = 9$

To find $hat C, a, b$

$hat C = 180 - 58.3 - 31.37 = 90.33^@$

$a / sin A = b / sin B = c / sin C$

$b = (9 * sin 31.37)/sin 90.33 = 4.69$

$a = (9 * sin 58.3)/sin 90.33 = 7.66$