Answer:

Each diagonal of the rectangle is a hypotenuse of a right triangle and since the length of each leg can be
determined, the Pythagorean Theorem may be used to find the length of each diagonal.
The length of AC is equal to the square root of 42 + 32 or 5.
The length of BD is equal to the square root of 42 + 32 or 5.
Therefore, the diagonals are congruent.