Use the Law of Cosines to determine the indicated side x. (Assume a = 21 and c = 33. Round your answer to one decimal place.) x =

Question

Use the Law of Cosines to determine the indicated side x. (Assume a = 21 and c = 33. Round your answer to one decimal place.)

x =

Answer 1

b^2= a^2+c^2-2acCosb

x^2 = 21^2 +33^2 -2(21)(33)CosX

x= sqr(1530-1386cosX)

x/sinX = 21/sinA = 33/sinC

x=21sinX/sinA = 33sinX/sinC

you need more information to use either law to find x

all you know now is

33-21 <x < 33+21

12< x <54

you might guess it's about the middle or about (54+12)/2=33 +/- <21