contestada

Need help with this question please

Solve the triangle.
B = 36°, a = 38, c = 17 (5 points)


b ≈ 41.3, C ≈ 22.3, A ≈ 121.7

b ≈ 41.3, C ≈ 26.3, A ≈ 117.7

b ≈ 26.2, C ≈ 118.7, A ≈ 25.3

b ≈ 26.2, C ≈ 22.3, A ≈ 121.7

Respuesta :

CastleRook
To solve for the triangle we shall proceed as follows:
B = 36°, a = 38, c = 17
using cosine rule:
b^2=a^2+c^2-2accosB
b^2=38^2+17^2-2*38*17cos36
b^2=697.7500
b=26.2

th missing angles will be evaluated using sine rule:
a/sin A=b/sin B
thus
38/sin A=26.2/sin 36
sin A=(38sin 36)/26.2
sin A=0.8525
A=58.49

since a is the longest side then A is the largest angle and it will be:
A=180-58.49=121.51
also:
c/sin C=b/sin B
17/sin C=26.2/sin 36
sin C=0.3814
C=22.42

Thus answer is:
b ≈ 26.2, C ≈ 22.3, A ≈ 121.7

Otras preguntas