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Algebra
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Sep 16th, 2014

6_ b

7_ The sides respectively opposite the 30, 60, 90 degree angles have lengths proportional to 1, √3, 2. This comes from chopping an equilateral triangle in half and using the Pythagorean theorem. Also, it is common to denote the angles by α, β, γ=90, and the corresponding opposite sides by a, b, c.

So, you have α=30, β=60, γ=90, and b=20. Now a/b = 1/√3, so a=b/√3 = 20/√3, and c/b=2/√3, so c=2b/√3 = 40/√3.

Summary: the remaining parts are β=60, a=20/√3, c=40/√3.

Sep 16th, 2014

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