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anonymous

  • one year ago

Challenge! Ready? the length of the hypotenuse of a 30 degrees-60 degrees-90 degrees triangle is 18. What is the perimeter?

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  1. anonymous
    • one year ago
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    haha lol ok im gone!!!!!!!

  2. anonymous
    • one year ago
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    Anyone?

  3. anonymous
    • one year ago
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    Where is everyone?

  4. anonymous
    • one year ago
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    Finally, some people. I have to wait at least a half an hour to fluttering get an answer.

  5. anonymous
    • one year ago
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    42.59

  6. anonymous
    • one year ago
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    Whoops, should put work too. Are you doing this as a challenge?

  7. AakashSudhakar
    • one year ago
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    If it's a 30-60-90 triangle, that means that the appropriated ratios of the lengths of triangle sides, opposite from the 30 degree angle, 60 degree angle, and 90 degree angle, are x, x*sqrt(2), and 2x, respectively. You have the value of the hypotenuse, which corresponds to the side opposite of the 90 degree angle, which is 2x. You can quickly solve for x, getting 9. Then, summing all the sides gets you the perimeter formula, which is: \[Perimeter = x + x \sqrt 2+2x\] Knowing that x = 9, simply plug in for X and solve the equation to get the perimeter of the triangle!

  8. anonymous
    • one year ago
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    \[\large \sf 18 (H)~+~\frac{1}{2}18(SL)~+~\frac{1}{2}18 \sqrt{3}(LL)\]

  9. AakashSudhakar
    • one year ago
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    My apologies, @LegendarySadist had it correct that I had incorrect. The aforementioned side X*sqrt(2) should be X*sqrt(3).

  10. anonymous
    • one year ago
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    It would be \[\large \sf Perimeter~=~x+x\sqrt{3}+2x\]

  11. anonymous
    • one year ago
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    Correct.

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