The points A, B, C, D, E, F are situated on a straight line in this order. The following distances on this line are known: AF=35, AC= 12, BD= 11, CE= 12 and DF=16. How long is the distance BE?
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2
Answer:
16
Step-by-step explanation:
AB = AF - BF
= AF - ( BD + DF )
= 35 - ( 11 + 16 )
= 35 - 27
= 8
EF = AF - AE
= AF - ( AC + CE )
= 35 - ( 12 + 12 )
= 35 - 24
= 11
BE = AF - AB - EF
= 35 - 8 - 11
= 16
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