Question

Consider a triangle like the one below. Suppose that a=33, b=72, c=62 and. (The figure is not drawn to scale.) Solve the triangle.

Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.

If there is more than one solution, use the button labeled "or".

Answer 1

som kriven data fon Question 9-33, b=72, and c=62 B . c = 62 A b=72 We know that Cosim Law 9²= 6² +6²_2be cosA Be ? + C? -20C COS B ² = 6² +9²- 2ab cosc Now, 2X72X62.COS A Apply q² = b ² + c²_2bc cos A (33)² = (72)² + (62)² = 2X12 X 62. COSA = (33)2 = (72) +(62)2 – 3 928 COSA - 8928 COS A = 5184 +3844 - 1089 => 8928 Cos A = 7939 COSA - 7939 8928 | 7939 -> A = cos' (1928) te high' = 27-2239 Ics Scanned with CamScanner = 27°13'26-36"

Now, C² = 6² +9²- aba cosa (62) = (72) +(33)-2 = (72)² + (3372 2X 72 X 33 Cos C 3844 = 5184 +1089 – 4752 Cos C = 4752 Cos C = 6273 - 3844 -> 4752 COSC : 2429 = COS C. 242 9 4752 a 59.250 • know that = 59°15'33.57" Bummation of angle cof Triangle is = 180° LA + LB + Le = 180° 20% 27:22 + 2B + :59.25 = 180° LB = 180°- 59.25*- 27-22° = 93.530 :. A = 27.22°; B = 93.53°; 6 = 59.99" CS