Answer:
Step-by-step explanation:
1). By applying Pythagoras theorem in the triangle formed by two sides and the diagonal,
Length of the diagonal = [tex]\sqrt{(\text{side})^2+(\text{side})^2}[/tex]
= [tex](\text{side})\sqrt{2}[/tex]
= 25√2
AC ≈ 35.56 units
2). Since, diagonal of a square is the angle bisector of interior angles of the square,
m∠CAB = 45°
By applying sine rule in ΔABC,
sin(45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{AB}{AC}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{25}{AC}[/tex]
AC = 25√2
AC ≈ 35.56 units
