Mathematics
In a △ABC, D and E are points on the sides AB and AC respectively such that AD = 5.7 cm, BD = 9.5 cm, AE = 3.3 cm and AC = 8.8 cm. Is DE || BC? Justify your answer.
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Answer
EC = AC - AE = 8.8 - 3.3 = 5.5 cm.
Calculating ,
So, .
Hence, by basic proportionality theorem DE || BC.
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