ABC ~ DEF such that AB = 5 cm and DE = 15 cm. Based on this information, answer the following questions. 15. If DF = 21 cm, then AC equals
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Answer:
As per the dimensions give in the questions,
From the question it is given that,
△DEF∼△LMN
So, AB/ED=AC/EF=BC/DF
Consider AB/ED=AC/EF
5/12=7/EF
By cross multiplication,
EF=(7×12)/5
EF=16.8cm
Now, consider AB/ED=BC/DF
5/12=BC/15
BC=(5×15)/12
BC=75/12
BC=6.25.
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AC is also 21 because it is similar
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