Question

need help wirh part a and b

1. Find all different solutions to the triangle problems, if a) a=10, b= 12, 0216 they exist (b) soo-b, e=720 ( = 460

Answer 1

I The solutions to the triange is I (a) a = 10, b=12, C = 16 by cosine hale COS A = 67 c²2 - abc Cos A = (123²+ (163 - 4oje 2(12) (16) cos A = 0.78125 A = cost (0.78125) LA = 138.620] COSB= a²+162_6² cac COSB = 10 + 16² - 122 100+ 256-144 2010) (16 820 B = cost (0.6625) LB (48.50 Cosce a²+62-22 2056 100+144 - 256 240 10² + 12²-12 cos ca 2010) (12) C = cos Co.os)

6 500 b (= 720, L2=460 72004 Formula sine gule Sin A Sin B Sinc SinB 720 Sin 46° G 720 500 SinB - 500 Sin 460 720 0.4995 SinB = A & Bt C = 180° - A +52+ 46 = 180 & A = 180-98 = (A = 1820 Sin82 - Sin46 a 720

sin 82 (720) Sin 46° a= (250) the value so LA = 820 (B=520 a= 250 b= 500 c=720 Le = 46