mtgrulesboi
contestada

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?

With a full explanation please.

Respuesta :

sqdancefan
The triangle inequality applies.

In order for ACD to be a triangle, AC must lie between CD-DA=0 and CD+DA=8.

In order for ABD to be a triangle, AC must lie between BC-AB=3 and BC+AB=9.

The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
  {4, 5, 6, 7}
adeeptarshic62

Answer:

"4, 5, 6, 7"

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