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^@#