() DB = 9 cm, AE = 8 cm, AC= 20 cm, find AD
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Given : DB = 9 cm, AE = 8 cm, AC= 20 cm
DE || BC
To find : AD
Solution:
DE || BC
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.
=> AD/ DB = AE/CE
=> AD/ 9 = 8 / (AC - AE)
=> AD/9 = 8/(20 - 8)
=> AD/9 = 8/12
=> AD/9 = 2/3
=> AD = 9 * 2/3
=> AD = 6
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