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In quadrilateral ABCD, we have  AB = 3 , BC = 6, CD = 4 and DA = 4.

 

If the length of diagonal AC is an integer, what are all the possible values for AC? Explain your answer in complete sentences.

Hint(s):Draw a picture! Apply the triangle inequality. There is more than one triangle to think about.

 Jun 6, 2020
edited by rabbit317  Jun 6, 2020
 #1
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4,5,6,7 because it has to be greater than 3 and less than 8

 Jun 6, 2020
edited by jimkey17  Jun 6, 2020
 #4
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4,5,6,7 because it has to be greater than 3 and less than 8

 Jun 14, 2020
 #5
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Here is a pic,

You can move A up and down to see what integer values of AC work

 

https://www.geogebra.org/classic/a2pkwfba

 Jun 15, 2020

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