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# In-depth answers would be greatly appreciated!

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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!

Mar 19, 2018

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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?

Mar 20, 2018
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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.

Mar 20, 2018
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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
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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.

Mar 20, 2018
edited by Omi67  Mar 20, 2018
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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.

Mar 20, 2018
edited by AnonymousConfusedGuy  Mar 20, 2018
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Mar 21, 2018
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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.

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

Mar 21, 2018