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1.
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?
- A. 2 cm
- B. 2 cm
- C. 2 cm
- D. 2 cm
Answer: Option A
Explanation:
x + 2x + 3x = 180 degrees
6x = 180
x = 180/6
x = 30 degrees
The right triangle has vertices A, B, and C of 30, 60, and 90 degrees.
A = 30, B = 60, C = 90 degrees
smallest side is opposite 30 degrees (A) = opp = 1 cm
longest side is hypotenuse opposite 90 degrees (C) = hyp
1/hyp = sin(30)
1/hyp = 0.5
hyp = 1/.5 = 2
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