Question

Calculate the side lengths a and b to two decimal places.

A. a = 11.08 and b = 13.54
B. a = 11.08 and b = 12.94
C. a = 6.37 and b = 5.45
D. a = 12.94 and b = 11.08
E. a = 5.45 and b = 6.37

Answer 1

first calculate angle C

A+B+C = 180

58+82+C = 180

C = ??

Answer 2

find the angle C. and use sine rule to the triangle.

Answer 3

c=40 :)

Answer 4

now use the law of sines

Answer 5

what is the line of sines?

Answer 6

sin(A)/a = sin(C)/c


sin(58)/a = sin(40)/8.4


solve for 'a'

Answer 7

this page goes into more detail of what the law of sines is

http://www.mathsisfun.com/algebra/trig-sine-law.html