Why is it that the median of a trapezoid is equal to the sum of the bases divided by two?

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Why is it that the median of a trapezoid is equal to the sum of the bases divided by two?

2006-11-04 14:43:06 · 3 answers · asked by kevin 1 in Science & Mathematics ➔ Mathematics

3 answers

You can prove it geometrically:
http://www.mathwords.com/m/median_of_a_trapezoid.htm

2006-11-04 14:46:09 · answer #1 · answered by arbiter007 6 · 0⤊ 0⤋

What you are doing is drawing a straight line connecting the two bases. If one base is higher than the other, the average height of the straight line is the average of the two numbers you have just connected. The average is the sum divided by the number, here, 2. Since there are only two numbers, the mean is also the median.

2006-11-04 23:11:41 · answer #2 · answered by Action 4 · 0⤊ 0⤋

because the formula says so.

2006-11-04 22:44:12 · answer #3 · answered by D-Money holla 3 · 0⤊ 0⤋