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rebecca1233

  • 3 years ago

The hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. What are the lengths of the longer leg and shorter leg? @tcarroll010

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  1. rebecca1233
    • 3 years ago
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    @tcarroll010

  2. cwest50813
    • 3 years ago
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    short leg =11 longer leg= 11\[\sqrt{3}\]

  3. rebecca1233
    • 3 years ago
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    huh

  4. tcarroll010
    • 3 years ago
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    The shorter leg of a 3-60-90 degree right triangle is half the hypotenuse, so the shorter leg is 11. Let "x" be the length of the longer leg, then: x^2 + 11^2 = 22^2 x^2 = 22^2 - 11^2

  5. cwest50813
    • 3 years ago
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    you multiply the 11 and the square root of three together to get longer leg

  6. rebecca1233
    • 3 years ago
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    x^2 = 22^2 - 11^2 gives u 19.05?

  7. tcarroll010
    • 3 years ago
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    yes.

  8. rebecca1233
    • 3 years ago
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    so thats the longer leg?

  9. tcarroll010
    • 3 years ago
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    yes.

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