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Emily778

  • 2 years ago

A piece of art is in the shape of an equilateral triangle with sides of 6m. Find the area of the piece of art.

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  1. johnweldon1993
    • 2 years ago
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    you know the area of a triangle is \[\frac{ 1 }{ 2 } b h\] |dw:1370581830579:dw| as you can see...you have 2 right triangles the hypotenuse is 6...and the bottom side is 6/2 = 3 so now you have 1 side...the hypotenuse...find the other side *which will be your height* using the Pythagorean theorem 3² + b² = 6²

  2. Emily778
    • 2 years ago
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    thats the answer?

  3. johnweldon1993
    • 2 years ago
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    no ..what you get from b = √(6² - 3²) will be your height Then you plug THAT into that other equation along with the base length (6) \[\frac{ 1 }{ 2 } (6) (height)\]

  4. Emily778
    • 2 years ago
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    I lost my calc...:(

  5. johnweldon1993
    • 2 years ago
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    well lets see 36 - 9 = 27 √ 27 = 5.19615242270 that is your height \[\frac{ 1 }{ 2 } (6) (5.19615242270)\] and that comes out to 15.59 would be the area

  6. Emily778
    • 2 years ago
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    thanks :)

  7. johnweldon1993
    • 2 years ago
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    anytime :)

  8. Emily778
    • 2 years ago
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    Do go to CA?

  9. Emily778
    • 2 years ago
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    @johnweldon1993

  10. johnweldon1993
    • 2 years ago
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    No I do not sorry, I'm actually in University :)

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