yesenias yesenias

20-06-2016
Mathematics

Answered

Solve the triangle. (1 point)

A = 33°, a = 19, b = 14

Verified Answer :

Anonymous Anonymous

20-06-2016

Sine theorem:
a/sin A=b/sin B=c/sin C

Data:
A=33º
a=19
b=14

19/ sin 33º=14 / sin B
sin B=(sin 33º 14) / 19
sin B=0.41312...;
B=arcsin 0.41312...=23.66º

A+B+C=180º
33º+23.66º+C=180º
C=180º-33º-23.66º
C=123.34º

a/Sin A=c/sin C
19 / sin 33º=c / sin 123.34º
c=(19 sin 123.34º) / sin 33º
c=29.14

Answer: a=19; b=14, c=29.14; A=33º; B=23.66º; C=123.34º

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