Solve ΔABC. (Round your answers to the nearest degree. If there is no solution, enter NO SOLUTION.)

Question

Solve ΔABC. (Round your answers to the nearest degree. If there is no solution, enter NO SOLUTION.)

a = 12,    b = 18,    c = 15

𝛼 =	°
𝛽 =	°
𝛾 =	°

Answer 1

γ=acos((a^2+b^2-c^2)/(2ab))

" ((144+324-225)/(2*12*18))

" ((243) /432))

" .5625

γ=55.77°

a/sinα=b/sinβ=c/sinγ

122/sinα=15/.8267=18.142;

122/18.142=6.724°=α

γ=117.5054..........

Answer 2

Use the law of cosines to get angle B.324=225+144-360 cos angle beta

The the law of sines will get you one of the other 2 angles.

The third angle will be obtained from remembering that the sum of the angles of a triangle is 10 degrees.