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# geometry

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As shown in the diagram, NM is the median of trapezoid ABCD and PQ is the median of trapezoid ABMN. We know AB = 5 and DC = 17. Find PQ.

Mar 2, 2021

#1
+485
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If NM is the median of trapezoid ABCD, then that means NM is the average of the two heights, which in this case are 5 and 17. so that means NM= $\frac{5+17}2=11$

now to find the median of trapezoid ABMN, we have to do the same thing, take the average of the two heights, which in this case are 5 and 11. This means that PQ=$\frac{5+11}2=\boxed{8}$

Mar 2, 2021

#1
+485
+2

If NM is the median of trapezoid ABCD, then that means NM is the average of the two heights, which in this case are 5 and 17. so that means NM= $\frac{5+17}2=11$

now to find the median of trapezoid ABMN, we have to do the same thing, take the average of the two heights, which in this case are 5 and 11. This means that PQ=$\frac{5+11}2=\boxed{8}$

SparklingWater2 Mar 2, 2021
#2
+529
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thank you!

iamhappy  Mar 2, 2021
#3
+485
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No problem!

SparklingWater2  Mar 2, 2021
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+118069
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Excellent  !!!

CPhill  Mar 2, 2021