Respuesta :
Answer:
The answer to your question is AB = 6.9
Step-by-step explanation:
Data
∠A = 70°
∠C = 62°
BC = 7.3
AB = x
Process
1.- To solve this problem use the law of sines
AB / sin C = BC / sin A
Substitution
AB / sin 62 = 7.3 / sin 70
Solve for AB
AB = 7.3(sin 62) / sin 70
AB = 7.3(0.883) / 0.940
AB = 7.3 (0.939)
Result
AB = 6.8
Answer:
Step-by-step explanation:
Since we are given 2 angles and 1 side, to determine AB, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle.
Therefore
AB/Sin62 = 7.3/Sin70
Cross multiplying, it becomes
AB × Sin 70 = 7.3 × Sin 62
AB × 0.9397 = 14 × 0.8829
0.9397AB = 12.3606
Dividing the left hand side and the right hand side of the equation by 0.9397, it becomes
0.9397AB/0.9397 = 12.3606/0.9397
AB = 13.2 to the nearest tenth