How do you solve the triangle given α = 22 degrees, β = 115 degrees, and c = 12.75?

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Answer 1 · 2016-12-29T07:48:16

#gamma=43°#

#b~=16.94#

#a~=7#

Since the sum of the angles

#alpha+beta+gamma=180°#,

you simply can get #gamma=180°-22°-115°=43°#

Then you can use the sine theorem:

#a/sinalpha=b/sinbeta=c/singamma#

and find

#b=(csinbeta)/singamma#

#b=(12.75*sin115°)/(sin43°)#

#b~=16.94#

and

#a=(csinalpha)/singamma#

#a=(12.75*sin22°)/(sin43°)#

#a~=7#