ABCD is a rhombus with each side equal to 5 cm. The diagonal AC is 8 cm long and intersects the other diagonal BD at O.
a. (i) Prove that △AOB≅△COD.
b. (ii) Using the equal parts obtained in part (i), prove that △BOC≅△AOD.
c. (iii) Calculate the lengths AO, BO and BD.