Respuesta :

Answer:

  • h = (2/3)√3
  • b = 3√2

Step-by-step explanation:

It is useful to remember the ratios between the side lengths of these special triangles.

  30°-60°-90° ⇒ 1 : √3 : 2

  45°-45°-90° ⇒ 1 : 1 : √2

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h is the shortest side, and the given length is the intermediate side. This means ...

  h/1 = 2/√3

  h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator

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b is the longest side, and the given length is the short side. This means ...

  b/√2 = 3/1

  b = 3√2 . . . . . multiply by √2

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