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

1 Answer

sankarankalyanam

Feb 26, 2018

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

Explanation:

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

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

Applying law of sines,

enter image source here

#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#

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