anonymous
  • anonymous
What is the length of line BD in the equilateral triangle ABC shown below?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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cathyangs
  • cathyangs
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?
anonymous
  • anonymous
x=5

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anonymous
  • anonymous
so the answer is 5, right?
anonymous
  • anonymous
the length of line BD
cathyangs
  • cathyangs
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 \[x \sqrt{3}\]
anonymous
  • anonymous
so it's 5√(3)?
cathyangs
  • cathyangs
yes :) that's it!
anonymous
  • anonymous
thnx!

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