Solve the triangle with sides a=2,c=4, angle x=30 degrees. state the law that you use?

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Answer 1 · 2018-02-26T09:08:17

#color(blue)(hat B = 60^@, b = 2sqrt3, hat C = 90^@#

#a = 2, c = 4, hat C = 30^@#

Applying law of sines,
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#hat C = sin ^-1 ((sin 30 * 4) / 2) = sin^-1 1 = 90^@#

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It’s a right triangle with angles measuring #30, 60, 90#

Hence sides will be in the ratio #x : sqrt3 x : 2x#

Hence #hat B = 60^@, b = 2sqrt3, hat C = 90^@#