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anonymous

  • 5 years ago

What is the length of an altitude of an equilateral triangle who side length is 8 multiplied by the square root of three?

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  1. anonymous
    • 5 years ago
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    The altitude of the equilateral triangle is 12.

  2. anonymous
    • 5 years ago
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    Thank you! How did you figure that out?

  3. anonymous
    • 5 years ago
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    To answer this you must compare this triangle to a special 30-60-90. Since we know that the hypo of this triangle is 8√3 all we do is set this equal to the hypo on the special triangle and solve for x: 2x = 8√3 x = 4√3 Since the altitude of the special triangle is x√3, we now set these equal to each other to find the altitude of our equilateral triangle: (4√3)(√3) Which equals 12. The altitude of the equilateral triangle is 12.

  4. anonymous
    • 5 years ago
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    u get it ( that took a long time to write

  5. anonymous
    • 5 years ago
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    Yes, thank you :)

  6. anonymous
    • 5 years ago
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    kk

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