Posted by janice on Friday, November 16, 2012 at 6:28am.
Find all solutions to the following triangle. (Round your answers to one decimal place. If either triangle is not possible, enter NONE in each corresponding answer blank.)
A = 115.2¡ã, a = 43.6 cm, b = 23.1 cm
First triangle (assume B ¡Ü 90¡ã):
B
=
¡ã
C
=
¡ã
c
=
cm
Second triangle (assume B' > 90¡ã):
B'
=
¡ã
C'
=
¡ã
c'
=
cm

trig  Henry, Sunday, November 18, 2012 at 9:35pm
I am not familiar with your symbols.
sinB/b = sinA/a.
sinB/23.1 = sin115.2/43.6
Multiply both sides by 23.1
sinB = 23.1*sin115.2/43.6 = 0.47939
B = 28.6o.
CosA = b^2+c^2a^2/2bc.
Cos115.2 = (23.1)^2+c^2(43.6)^2/46.2c
0.42578 = (533.61+c^21901)/46.2
0.42578 = (1367.39+c^2)/46.2c
0.42578c = (1367.39+c^2)/46.2
19.67c = 1367.39+c^2
c^219.67c = 1367.39
c^2+19.67c1367.39 = 0.
c = 28.43 cm.
C = 180115.2 28.6 = 36.2o