Answer:
(C)BC = 13, DB = 24
Step-by-step explanation:
It is given that Side AC and side BD are perpendicular bisectors of each other, then from the figure, we have
DE=EB=12(Side AC and side BD are perpendicular bisectors of each other)
Now, from ΔBEC, we have
[tex](BC)^2=(BE)^2+(EC)^2[/tex]
=[tex](12)^2+(5)^2[/tex]
=[tex]144+25[/tex]
=[tex]169[/tex]
Therefore, BC=[tex]\sqrt{169}=13[/tex]
Thus, BC=13
Also, DB=DE+EB
DB=12+12
DB=24
Therefore, BC = 13, DB = 12
