Answer:
Step-by-step explanation:
They say "solve" the triangle, means just find all the sides and all the angles is all they are asking by "solve" .. saying "solve" sounds so ominous :/ like.. good luck with this... nobody can do it.. :D .. which there are math questions like that. soooo anyway, let's find AC , I'll call is side b , then using law of cosines, where AC = b , a = 9 and c=21, and angle B = 91°, then
b = sq rt[ a^2+c^2 - 2*a*c*cos(B) ]
b = sq rt[ 9^2 +21^2 -2*9*21*cos(91)]
b = sq rt [ 81 +441 -378 * (-0.0174524 )]
b = sq rt [ 522 + 6.597]
b = sq rt [528.597]
b = 22.991
side AC = 23.0 ( rounded to nearest 10th)
now that we have all three sides lets use law of sines to solve the angles, b/c it's easier :P call me "lazy" maybe ? or call me "maybe" :D :D the song, ofc. :D anyway
sin(91) / 22.991 = sin(C) /21
arcSin [ 21*sin(91) / 22.991] = C
arcSin[ 0.91326 ] = C
65.96 ° = C
C = 66.0 °
and then the same for angle A
Sin(91)/22.991 = sin(A) / 9
arcSin [ 9* sin(91) / 22.991 ] = A
arcSin [ 0.3913979 ] =A
23.04 ° = A
A = 23.0 °
let's add up the 3 angles to see if we get 180 or very very close
180.0015 ° ohh that's pretty close , nice I think the answers are right :P
23 +66+91=180 so the rounding to the nearest 10th makes them perfect , great , :)
