In rectangle ABCD, the diagonals intersect at point O. Find the lengths of the vectors BC, CD

In rectangle ABCD, the diagonals intersect at point O. Find the lengths of the vectors BC, CD, AC, AO, CO, DO, If AB = 6 cm, AD = 8 cm.

In any rectangle:
1) all angles are equal to 90º;
2) opposite sides are equal;
That is, AB = CD = 6 cm, BC = AD = 8 cm.
3) the diagonals are equal and the point of their intersection O divides the diagonals in half.
Hence, BD = AC = (6 ^ 2 + 8 ^ 2) ^ (1/2) = (36 + 64) ^ (1/2) = √100 = 10 cm (found the diagonal as the hypotenuse by the Pythagorean theorem).
CO = AO = DO = AC / 2 = 10/2 = 5 cm.