How do you solve the triangle given $triangleABC, b=25, mangleB=45, mangleC=60$ ?

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Answer 1 · 2018-02-26T09:28:13

$color(green)(hat A = 75^@, a = 34.15, c = 30.61$

$color(blue)(b = 25, hat B = 45^@, hat C = 60^@$

Third angle $hat A = 180 - 45 - 60 = 75^@$

Applying law of sines,

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$a = (b sin A) / sin B = (25 * sin 75) / sin 45 = 34.15$

$c = (b sin C) / sin B = (25 * sin 60) / sin 45 = 30.61$

How do you solve the triangle given triangleABC, b=25, mangleB=45, mangleC=60triangleABC, b=25, mangleB=45, mangleC=60?