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rebecca1233

The shorter leg of a 30°- 60°- 90° right triangle is 12.5 inches. How long are the longer leg and the hypotenuse?

  • one year ago
  • one year ago

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  1. rebecca1233
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    @tcarroll010

    • one year ago
  2. tcarroll010
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    In a 30-60-90 degree right triangle, the shorter leg is half of the hypotenuse, so the hypotenuse is 25. Now, let "x" be the length of the longer leg: x^2 + 12.5^2 = 25^2 x^2 = 25^2 - 12.5^2 So, just solve for "x" by squaring both terms on the right, adding them, and then taking the square root of that sum.

    • one year ago
  3. rebecca1233
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    x=21

    • one year ago
  4. rebecca1233
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    ?

    • one year ago
  5. tcarroll010
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    That's rounding a bit too much.

    • one year ago
  6. rebecca1233
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    wait i have to solve both ?

    • one year ago
  7. tcarroll010
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    approx. 21.65 is a better answer.

    • one year ago
  8. tcarroll010
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    both what?

    • one year ago
  9. rebecca1233
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    so the ansewer is 21.65

    • one year ago
  10. tcarroll010
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    longer leg approximation

    • one year ago
  11. tcarroll010
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    It's an irrational number, so if you want it in decimal form, it has to be approximated. The decimal points will go on forever otherwise.

    • one year ago
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