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In the following figure, AF is the perpendicular bisector of BD, AD = 30, and DF = 12.  Find AB + BF.

   

 

A. 24

B. 360

C. 18

D. 42

 Jan 29, 2020
 #1
avatar+18875 
+2

Since AF is the perpendicular bisector both angle(AFD) and angle(AFB) are right angles; 

also, BF is congruent to DF.

Since AF is congruent to AF, triangle(ABF) is congruent to triangle(ADF)   ---   side-angle-side.

Therefore, AD = AB = 30 and DF = BF = 12.

 

You can now calculate AB + BF.

 Jan 29, 2020
 #2
avatar+1679 
+1

30 + 12 = 42

macabresubwoofer  Jan 29, 2020

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