How do you solve the triangle given $A=135^circ, b=4, c=9$ ?

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Answer 1 · 2018-02-26T15:34:43

$color(blue)(hat B = 13.45^@, hat C = 31.55^@, a = 12.16$

enter image source here

$hat A = 135, b = 4, c = 9$

Applying law of Cosines,

$a = sqrt(4^2 + 9^2 - (2 * 4 * 9 * cos 135)) = 12.16$

Applying law of sines,

enter image source here

$hat B = sin ^-1 ((sin 135 * 4)/12.16) = 13.45$

$hat C = 180 - 135 - 13.45 = 31.55^@$

How do you solve the triangle given A=135^circ, b=4, c=9A=135^circ, b=4, c=9?