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Mindblast3r

  • one year ago

30-60-90 triangle question

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  1. TheSmartOne
    • one year ago
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    Post away

  2. mindblast3r
    • one year ago
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  3. mindblast3r
    • one year ago
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    @thesmartone

  4. mindblast3r
    • one year ago
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    @happyrosy

  5. mindblast3r
    • one year ago
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    @Nnesha

  6. anonymous
    • one year ago
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    This is more properties of a 30-60-90 triangle than Pythagorean theorem.

  7. TheSmartOne
    • one year ago
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    Do you know the relationship of sides of a 30-60-90 triangle?

  8. mindblast3r
    • one year ago
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    YES

  9. TheSmartOne
    • one year ago
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    Can you draw it using the draw tool?

  10. mindblast3r
    • one year ago
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    ok i already know the answer and it showed me it but can you explain how the answer was worked out?

  11. mindblast3r
    • one year ago
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  12. TheSmartOne
    • one year ago
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    |dw:1433881486021:dw|

  13. mindblast3r
    • one year ago
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    ok, but i don't know how to solve it

  14. TheSmartOne
    • one year ago
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    They gave you the side opposite the right angle as \(\sf 8\sqrt{3}\) And so if we look at the drawing I posted, and correlate the sides to solve for a we get: \(\sf 2a = 8\sqrt{3}\) \(\sf\Large a=\frac{8\sqrt{3}}{2}=4\sqrt{3}\)

  15. TheSmartOne
    • one year ago
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    and you can see that the side that they want is the side opposite the angle 60 In the drawing I posted, it has a value of \(\sf a\sqrt{3}\) and we calculated a as \(\sf 4\sqrt{3}\) So if we plug in the value of a, we get: \(\sf 4 \sqrt{3}\times \sqrt{3}=4 \times 3 = 12\)

  16. anonymous
    • one year ago
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    The side opposite 30 degrees is always half of the hypotenuse. So if the hypotenuse is \[8\sqrt{3}\] then the side opposite to the 30 degees would be \[\frac{8\sqrt{3}}{2}\] which is \[4\sqrt{3}\] And the 60 degrees side is always the 30 degrees side times sqrt 3. So it would be \[4\sqrt{3}*\sqrt{3}\] which is the same as \[4\sqrt{9}\] which is \[4*3\] which obviously get you 12.

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