Question

Please help:

Answer 1

A little confused....

Answer 2

Here is the law of cosines:

Answer 3

try to first find a since you are been given angle A

Answer 4

We'll say side c = 15.8 and
side b = 7.4 and
Angle A = 54 degrees

We'll call the side we need to find is side a

Answer 5

From the Law of cosines, we see that
a^2 = b^2 + c^2 -(2bc * cos(A))
a^2 = 7.4^2 + 15.8^2 -(2*7.4*15.8 * 0.58779)
a^2 = 54.6 + 249.64 -137.4488136
a^2 = 166.9511864
a = square root (166.9511864)
a = 12.9209591904

Answer 6

To find another angle, let's use the Law of Sines

Answer 7

So we know
side a / sine (A) = side b / sine (B)
Therefore,
sine (B) = (sine (A) * side b) / side a
sine (B) = sine (54) * 7.4 / 12.9209591904
sine (B) = 0.80902 * 0.5727128993
sine (B) = 0.4633361898
Angle B = arc sine of Angle B
Angle B = 27.603 Degrees

We know angle A= 54 and angle B = 27.603
We also know that a triangle contains 180 degrees, so
Angle (C) = 180 -54 - 27.603
Angle (C) = 98.397 degrees