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mitchelsewbaran

What is the length of line BD in the equilateral triangle ABC shown below?

  • one year ago
  • one year ago

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  1. mitchelsewbaran
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    • one year ago
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  2. cathyangs
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    It says 10, right? In which case, do you know the 30-60-90 special triangle? |dw:1346612914460:dw| This triangle also half of an equilateral triangle. 2x is the 'diagonal' side of one half of your triangle, so 2x=10. Do you have it?

    • one year ago
  3. mitchelsewbaran
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    x=5

    • one year ago
  4. mitchelsewbaran
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    so the answer is 5, right?

    • one year ago
  5. mitchelsewbaran
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    the length of line BD

    • one year ago
  6. cathyangs
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    Not quite. The right angle is made from the perpendicular line dashed line in the middle of your equilateral triangle. You need to orient yourself so that the 30-60-90 triangle is the right half of your triangle. so the length of BD is represented by \[x \sqrt{3}\]

    • one year ago
  7. mitchelsewbaran
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    so it's 5√(3)?

    • one year ago
  8. cathyangs
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    yes :) that's it!

    • one year ago
  9. mitchelsewbaran
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    thnx!

    • one year ago
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