Question

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. a = 39, c = 41, 2A = 38° Step 1 The Law of Sines says that in triangle ABC, you have Step 2 To find the missing values for the triangle, which are B, C, and b, since you have A, a, and c, you can use the Law of Sines. Set up and solve the relation for C, using a, c, and A. sin(C) = 4: (sin(O ) This gives rise to two possible values for C. Round your answers to one decimal place. GEO (smaller value) C (larger value) Submit Skin (you cannot come back) -/3 points SPRECALC7 6.5.021. My Notes Ask Your Teacher ~ Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 21, C = 46, ZA = 128

Answer 1

* a=39, C=41 <A: 38° - from sine rule olemas a b . sina sinB sc OD sinc 39 = b. 4 sinir SinB sinc sin 38 39 sinc 41 39 sin38 sinc sinc = 41x Sin38 39 sinc 0.647233 C, -40.3 cLecky@s (smallery - 4o.333 Sin (T-C) = 0.644233 - 18o- sucos 40.333 Clarger =) =139.2° - legfuttu 139.666 A 221 ca 46 CA = 128° ab , S sina sinB sinc 21 sinir = b sino : 46 sinc

21 & Yo sina sini sine 46x sin 128 sinc - 1.72611 > for the given coc value does nor enints : The valle dous nor exists values