Question

8.2.5 Solve the triangle, if possible. B=67°51',c= 15m, a = 73 m Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Rounds O A. There is only one possible solution for the triangle. The measurements for the remaining angles A and C and side b are as follows. Ax ' C» bm OB. There are two possible solutions for the triangle. The measurements for the solution with smaller angle A are as follows. AL b> m The measurements for the solution with larger angle A are as follows. AH' b> m O C. There are no possible solutions for this triangle.

Answer 1

given that B=67 51 c =15m . a = 73 m B = 67085° b=? 067.85° C apply cosine rule for Angle B ism b² = a ² + c ² - 2 ac cos B b? - (73)+(15)2– 2x73x15 COS(67.85°) B 73m 62 = 5329 + 225 - 825.70 62 = 4728.299 b = 68.76m cos c = q²+b²-C2 = (73)² + (68.76) 2_ (1592 296 28 734 68.76 COSC) = 0.979 ca cost(0.979) C = 11.66° = C = 11°39'36" ~ 11°40' o en triangle sum of all interior angle is 180° so LAT 2B +2C = 180° LA + 67.85°+11-66° – 180° TLA = 100.490] = 100° 29' 24" ~ 100°2g' finally A = 100° 29', ca 11940', b= 68.76m a 69 m