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rebecca1233

  • 3 years ago

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

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  1. rebecca1233
    • 3 years ago
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    @tcarroll010

  2. tcarroll010
    • 3 years ago
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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.

  3. rebecca1233
    • 3 years ago
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    x=21

  4. rebecca1233
    • 3 years ago
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    ?

  5. tcarroll010
    • 3 years ago
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    That's rounding a bit too much.

  6. rebecca1233
    • 3 years ago
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    wait i have to solve both ?

  7. tcarroll010
    • 3 years ago
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    approx. 21.65 is a better answer.

  8. tcarroll010
    • 3 years ago
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    both what?

  9. rebecca1233
    • 3 years ago
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    so the ansewer is 21.65

  10. tcarroll010
    • 3 years ago
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    longer leg approximation

  11. tcarroll010
    • 3 years ago
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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.

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