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Beginning of the school year. Trigonometry

Beginning of the school year. Trigonometry-example-1

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Explanation:

With 30°-60°-90° and 45°-45°-90° triangles, the sides have common ratios. The ratios for 30°-60°-90° triangle sides are:

  • x for the smaller side
  • x√(3) for the larger side
  • 2x for the hypotenuse

So 4. for example has a shorter side length of 5 units, which means the longer side is 5√(3) units long, and the hypotenuse is 10 units long.

*For 45°-45°-90° triangles, the ratios are:

  • x for both sides; which have equal lengths
  • x√(2) for the hypotenuse
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