Question

Side AC and side BD are perpendicular bisectors of each other. Find BC and DB

Answer 1

The answer is BC=13 and DB=24

Answer 2

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

$(BC)^2=(BE)^2+(EC)^2$

=$(12)^2+(5)^2$

=$144+25$

=$169$

Therefore, BC=$\sqrt{169}=13$

Thus, BC=13

Also, DB=DE+EB

DB=12+12

DB=24

Therefore,  BC = 13, DB = 12