Calculate Length of Median on Trapeze (48 cm)

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Discussion Overview

The discussion revolves around calculating the length of the median of a trapeze given the lengths of the non-parallel sides and the perimeter. Participants explore the relationship between the sides and the bases of the trapeze, seeking clarification on the concept of the median.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant asks for an explanation on how to calculate the median length of a trapeze.
  • Another participant suggests that the median length is the average of the two bases and sets up an equation based on the perimeter.
  • There is a question about the meaning of the value 20, which represents the sum of the lengths of the two parallel bases.
  • Clarification is provided that the median is the average of the two base lengths.
  • One participant expresses uncertainty about whether the discussion has reached a final answer.
  • Another participant disputes the notion that a final answer has been reached.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether a final answer has been established, indicating ongoing uncertainty and disagreement regarding the completion of the problem.

Contextual Notes

There are unresolved aspects concerning the specific values of the bases and how they relate to the median calculation, as well as the implications of the perimeter on the trapeze's dimensions.

GVdig
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The two non-parallel sides of the trapeze are 15 cm and 13 cm, the perimeter is 48 cm. Find the length of the median.
I don't know anything about trapezes can someone expain how to do this?
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GVdig said:
The two non-parallel sides of the trapeze are 15 cm and 13 cm, the perimeter is 48 cm. Find the length of the median.
I don't know anything about trapezes can someone expain how to do this?

the median length is the average of the two bases ... let $a$ and $b$ represent the length of each base.

$(a+b) + 13+15 = 48 \implies (a+b) = 20$

can you finish?
 
I don't think I can, what is 20 exactly?
 
GVdig said:
I don't think I can, what is 20 exactly?

20 is the sum of the lengths of the two parallel bases ... the median, or mid-segment, is the average (mean) of those two base lengths.
 
So that's the final answer then.
 
GVdig said:
So that's the final answer then.

no ...
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