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The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid.

 

Thanks everyone!

AnonymousConfusedGuy  Mar 19, 2018
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7+0 Answers

 #1
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Trapezoid means different things in different countries.

I am assuming that you mean a 4 sided figure where 2 of the sides are parallel. (I would call this a trapezium)

I am wondering if you are referring to what I would call an isoscles trapezium where the 2 non parallel sides are equal in length?

Melody  Mar 20, 2018
 #2
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The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid.


laugh

Omi67  Mar 20, 2018
 #3
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Hi Omi, it is good to see you here. 

 

But..... that is a rhombus, I do not think it is the shape that  AConfusedGuy meant :)

Melody  Mar 20, 2018
 #4
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HI Melody;

Yes, it is a rhombus. It is not different. A rhombus is a special parallelogram and a parallelogram is a special trapezoid.

 

The diagonals should be perpendicular to each other.

Omi67  Mar 20, 2018
edited by Omi67  Mar 20, 2018
 #5
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Sorry for the confusion, I am working with the definition that a trapezoid is a quadrilateral in which exactly one pair of opposite sides are parallel.

AnonymousConfusedGuy  Mar 20, 2018
edited by AnonymousConfusedGuy  Mar 20, 2018
 #7
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I was not convinced there was an answer to this question so I decided to experiment with Geogebra to get an answer.

 

Bummer!!

 I only just saw the word perpendicular. What a goose I am.    blush

 

I guess the pic I drew is not relevant after all!! 

Melody  Mar 21, 2018

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