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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

 Apr 26, 2022
 #1
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The possible values of AC are 3, 4, 5, 6, 7, 8, and 9.

 Apr 27, 2022
 #2
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Could you please explain your answer a bit more? Thanks!

Guest Apr 27, 2022
 #3
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That first answer is not correct.

 

Have you drawn the pic?

In any triangle the sum of any 2 sides must be bigger than the third side.

This is what you must use to figure it out.

 Apr 27, 2022

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