Answer:
[tex]AC=14.14\ units[/tex]
Step-by-step explanation:
The correct question is
If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)
see the attached figure to better understand the problem
we know that
All four sides of the square are congruent and all four interior angles are equal to 90°.
so
AB=BC=CD=AD
In the right triangle ACD
Applying the Pythagorean Theorem
[tex]AC^2=CD^2+AD^2[/tex]
we have that
[tex]CD=AD=AB=10\ units[/tex]
substitute the given value
[tex]AC^2=10^2+10^2[/tex]
[tex]AC^2=200[/tex]
[tex]AC=\sqrt{200}\ units[/tex]
[tex]AC=14.14\ units[/tex]
