Question

PLEASE HELP ASAP!!!! 20 PTS
Find all the missing parts to the triangle below.

Answer 1

Explanation:

sin G / c =sin A / a

sin G / 12 =sin(87°) / 22

sin G = (0.999 x 12) / 22

sin G =0.545

G =sin-1(0.545)

G =33.005°

B =180° - G° - A°

B =180° - 33.005° - 87°

B =59.995°

b / sin(B) =a / sin(A)

c / sin(59.995°) =22 / sin(87°)

c =(sin(59.995°) x 22) / sin(87°)

c =19.078

Answer 2

For this problem, SSA, we use the Law of Sines
We are given:
- angle A (87°)
- side length a (22)
- side length c (12)
we will plug these into the formulas to solve for the missing values
I'll try to get these as exact as possible ( you can approximate if needed)

First: Use the Law of Sines to find angle G.
sin G / c =sin A / a
sin G / 12 =sin(87°) / 22
sin G = (0.999 x 12) / 22
sin G =0.545
G =sin-1(0.545)
G =33.005°
Then: Find remaining angle by subtracting the other angles from 180°.
B =180° - G° - A°
B =180° - 33.005° - 87°
B =59.995°
Lastly: Use the Law of Sines to find side c.
b / sin(B) =a / sin(A)
c / sin(59.995°) =22 / sin(87°)
c =(sin(59.995°) x 22) / sin(87°)
c =19.078

Hope this helps :)
(sry it took a while)