The angles of a triangle are in the proportion of 1:2:3 and the length of the smallest side is 1 c. what is the length of the longest side of the triangle?

The angles of a triangle are in the proportion of 1:2:3 and the length of the smallest side is 1 c. what is the length of the longest side of the triangle? Correct Answer 2 cm

x + 2x + 3x = 180 degrees6x = 180x = 180/6x = 30 degreesThe right triangle has vertices A, B, and C of 30, 60, and 90 degrees.A = 30, B = 60, C = 90 degreessmallest side is opposite 30 degrees (A) = opp = 1 cmlongest side is hypotenuse opposite 90 degrees (C) = hyp1/hyp = sin(30)1/hyp = 0.5hyp = 1/.5  = 2 
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