SOLUTION: In the right triangle ABC, AC= 12, angle B= 30 degrees, Angle C= 90 degrees, and Angle A= 60 degrees. What is the perimeter of the Triangle

Algebra ->  Triangles -> SOLUTION: In the right triangle ABC, AC= 12, angle B= 30 degrees, Angle C= 90 degrees, and Angle A= 60 degrees. What is the perimeter of the Triangle      Log On


   



Question 148414: In the right triangle ABC, AC= 12, angle B= 30 degrees, Angle C= 90 degrees, and Angle A= 60 degrees.
What is the perimeter of the Triangle

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In the right triangle ABC, AC= 12, angle B= 30 degrees, Angle C= 90 degrees, and Angle A= 60 degrees.
What is the perimeter of the Triangle
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The hypotenuse is AB.
The sin(30) = AC/AB
.5 = AC/AB
AB = AC*2 = 24
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sin(60) = BC/AC
sqrt%283%29%2F2+=+BC%2F24
BC+=+12%2Asqrt%283%29
Circumference = 12+24+12sqrt(3)
= 36+12sqrt(3)