The Properties of a Rectangle
4 Right Angles
In a rectangle, all angles are 90°
Diagonals of Rectangle
The diagonals of a rectangle are congruent.
It's easy to prove that the diagonals of a rectangle with the Pythagorean theorem. Click here to see the proof.
Since the diagonals of a rectangle are congruent, RT has the same length as SA.
Therefore, RT = 5
Since the diagonals of a rectangle are congruent MO = 26.Finding length of MZ
If MO = 26 and the diagonals bisect each other, then MZ = ½(26) = 13
$$ \angle SZT $$ and $$ \angle SZA $$ are supplementary angles,
Therefore $$ \angle SZA = 120° $$