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Question
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?
2 cm
3 cm
4 cm
5 cm
ANSWER : 1
Descrption
<p>x + 2x + 3x = 180 degrees</p><p>6x = 180</p><p>x = 180/6</p><p>x = 30 degrees</p><p>The right triangle has vertices A, B, and C of 30, 60, and 90 degrees.</p><p>A = 30, B = 60, C = 90 degrees</p><p>smallest side is opposite 30 degrees (A) = opp = 1 cm</p><p>longest side is hypotenuse opposite 90 degrees (C) = hyp</p><p>1/hyp = sin(30)</p><p>1/hyp = 0.5</p><p>hyp = 1/.5 = 2</p><p> </p>
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