It is given that Triangle ABC~ Triangle DEF . such that AB=8cm , AC=9cm, D=18cm and DE=15cm . Find the lengths of the remaining sides of the triangles .
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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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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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