anonymous
  • anonymous
If the mid segment of a trapezoid measures 6 units long, what is true about the lengths of the bases of the trapezoid?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
C'mon now, this is exactly what we just did..... Tell me about it.
anonymous
  • anonymous
Really? Gosh.
anonymous
  • anonymous
But isn't it asking for properties and such?

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anonymous
  • anonymous
I can find it, but the question is unclear to me.
anonymous
  • anonymous
Didn't we just work two problems based on the idea that the length of the mid segment of a trapezoid is the average of the two bases?
anonymous
  • anonymous
x+2x/2=6?
anonymous
  • anonymous
Not always. Your equation is valid for the case when the larger base is twice the smaller. In that case, (x+2x)/2=6. In general, \[\frac{b_1+b_2}{2}=6\]
anonymous
  • anonymous
Of course, since the bases are line segments, their lengths have to be more than zero.
anonymous
  • anonymous
So x+2x/2=6? won't work all the time?
anonymous
  • anonymous
When finding the lengths not including the mid segment?
anonymous
  • anonymous
Look, a trapezoid might be almost a rectangle, with the two bases just about identical, or it could be just about a triangle with the top cut off, so the two bases are a lot different. The important thing in this problem is that they average to six units long.
anonymous
  • anonymous
I don't think you will get a specific number for this problem. You could state it with one base in terms of the other, like \[b_2=12-b_1~~~b_1\in (0,12)\]Another way to say\[b_1\in (0,12)~is~0
Directrix
  • Directrix
Answer: The sum of the lengths of the two bases is 12.

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