Question

HELP PLSSS IT'S A FINALLL!!!!!!!!!!! WILL GIVE BRAINLEST AND 50 POINTS!!!! PLEASE PLEASE PLEASE HELP!!!!

Answer 1

Answer:

Step-by-step explanation:

1). By applying Pythagoras theorem in the triangle formed by two sides and the diagonal,

Length of the diagonal = $\sqrt{(\text{side})^2+(\text{side})^2}$

                                      = $(\text{side})\sqrt{2}$

                                      = 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°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$\frac{1}{\sqrt{2}}=\frac{AB}{AC}$

$\frac{1}{\sqrt{2}}=\frac{25}{AC}$

AC = 25√2

AC ≈ 35.56 units