AC and BD are perpendicular bisectors of each other.
a. Find DC
b. Find DB
c. Find AE

(pic attached)

Question

AC and BD are perpendicular bisectors of each other. 
a. Find DC
b. Find DB 
c. Find AE

(pic attached)

anonymous · Answer

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anonymous · Answer

Bisectors mean the two lines meet exactly at mid point of each other. So, (b) and (c) above should be easy to figure out from the given information of 12 and 5.

anonymous · Answer

Line DC length is simply the hypotenuse of the right triangle DEC (Remember DEC angle is a right angle because of perpendicular line). You are given two sides of that right triangle. Find the hypotenuse.

anonymous · Answer

Ok so I see DC is 13, and DB is 12, but AE is 5, correct?

anonymous · Answer

Correct on DC.
DB is 24 as DE is 12.
Correct on AE.

anonymous · Answer

Ah, I see where I made my mistake, thanks for explaining how to do it I was a little confused, and my book didn't explain too well.
Thank you.

anonymous · Answer

DC is 13 because it is the square root of (12^2 + 5^2) = sqrt(169) = 13.