Question

SOLVE triangle ABC. Round all answers to the nearest tenth. 3. A=52", c = 29 mi, a = 27 mi. roud of 10 avels part as at 357 les per o planes su solve jur know

Answer 1

Solution: usiven, A=52° a=27 me c=29 me А b AB a Using sine rule, a Sin A b sinB = C sinc 27 b 29 Sin 52 sing Sinc Now, from 1st and 3rd condition, 27 29 sinc Sin52° 29 x Sin 52 sinca 27 ic=sin' sin {(29 x sin 52°) 27

LC = 57.8° We know that, In triangle, A ABC LA + 2B +LC = 180° ;. 52° +20 +57.8°=180 LB = 180-(52+57.8 LBS 70-2° Now, from 1st and 2nd condition, 27 b Sin52° sin(70.23 27 x Sin (70:2) b sin 52° = b = 32.2 mi Hence, L A=52° sides, a = 27 me LB = 70.20 b=32-2 mé LC = 57-89 C = 29 m