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Mathematics 12 Online
OpenStudy (anonymous):

Suppose angle A=pi/4 radians and length of b=3

OpenStudy (anonymous):

OpenStudy (anonymous):

since angle a is pi/4 radians angle a is 45 degrees

OpenStudy (anonymous):

and angle b is 45 degrees

hartnn (hartnn):

ohh i like pi/4 angle the angles become congruent and 2 sides become equal :P

OpenStudy (anonymous):

:D I set up tan45=a/3

OpenStudy (anonymous):

and got that a=3

hartnn (hartnn):

correct

OpenStudy (anonymous):

since it's a 45-45-90 triangle a and b are both 3

hartnn (hartnn):

agreed

OpenStudy (anonymous):

so 3^2+3^2=c^2, 9+9=c^2, 18=c^2 i'm not sure if we need to get square root of 18

hartnn (hartnn):

ok, lets use a trig function then find sin A or sin B

OpenStudy (anonymous):

so sin(45)=3/c, c=3*sin45 which is 2.12

hartnn (hartnn):

you can keep it as \(3/ \sqrt 2\)

OpenStudy (anonymous):

where did we get the 3/sqrt of 2 from? lol

hartnn (hartnn):

because it is mentioned, "no decimals"

hartnn (hartnn):

sin 45 = 1/\(\sqrt 2\) 3 sin 45 = 3/\(\sqrt 2\)

OpenStudy (anonymous):

sin of 45 =sqrt(2)/2..

hartnn (hartnn):

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