How do you solve the triangle given A=25, B=78, a=13.7?

1 Answer
Alan P.
Jan 5, 2017

(/_A,/_B,/_C) = (25^@,78^@,77^@)
(a,b,c)=(13.7,31.71,31.59)
color(white)("XXX")(b and c are approximate)

Explanation:

If /_A=25^@
and /_B=78^@
then
color(white)("XXX")/_C=180^@-(25^@+78^@)=77^@

Given a=13.7 and using the Law of Sines
color(white)("XXX")b=a/(sin(/_A))*sin(/_B) ~~31.7085733
and
color(white)("XXX")c=a/(sin(/_A)) * sin(/_C) ~~31.58611706

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