Given that AE = 6, EC = 8, and AD = 3, find DB,
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Given : DE || BC
AE = 6, EC = 8, and AD = 3,
To find : DB,
Solution:
Thales theorem ( BPT ) :
if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.
DE || BC
AD/DB = AE/EC
3/DB = 6/8
=> 3/DB = 3/4
=> DB = 4
DB = 4
Learn more:
If a line intersects sides AB and AC of a triangle ABC at D and E ...
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