trig

in triangle ABC, a = 2, b = the square root of 3, and m,angle C = 30 degrees. What is the value of c?

a= 1 b= 2 c= 2square root of 3 d=square root of 3 over 3

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asked by jonni
  1. For your first one,
    You should recognize those numbers as belonging to the 30-60-90° right-angled triangle
    which would make c = 1

    If you didn't notice that, you could use the cosine law
    c^2 = 2^2 + √3^2 - 2(2)(√)cos30°
    = 4 + 3 - 4(√3)(√3/2)
    = 7 - 6
    c^2 = 1
    c = 1

    Now, of course , in a triangle with sides, 1 , √3, and 2
    2^2 = 1^2 + √3^2
    so the triangle is right-angled, etc

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    posted by Reiny

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