The sides are all 10. The vertex is a right angle. This makes the diagonal formed by ac the hypotenuse of a right triangle with sides 10 and 10.
10^2+10^2=ac^2
100+100=ac^2
200=ac^2
10* sqr 2=ac
approximately 14.1421....=ac
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none of these are correct
160 degrees.
280
5 units
If the quadrilateral is a square then all of its sides are the same length. ac is not one of the sides but is a diagonal which forms the hypotenuse of a right angle triangle with sides ab and bc. According to Pythagoras the sum of the square of the hypotenuse is equal to the sum of the squares of the other two sides. As side ab measures 10 then 10 squared = 100. Side bc has the same measurements. The square of side ac must equal 200 (100 + 100) so the length of side ac must equal the square root of 200 (100 + 100) which is 14.14 (to 2 decimal places).