Question
Download Solution PDFTriangle ABC and DEF are similar. If AB = 92 cm, BC = 48 cm, AC =120 cm, and the length of the smallest side of DEF is 200 cm, then find the length of the longest side of triangle DEF?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Triangle ABC and DEF are similar .
AB=92 cm, BC=48 cm, AC=120 cm
Concept used:
Given △ABC ∼ △DEF,
Therefore,
\({AB\over DE} ={BC\over EF}={AC\over DF}\)
Calculation:
⇒ \({BC \over EF} ={AC \over DF}\)
⇒ \({48 \over 200} ={120 \over DF}\)
⇒ \(DF={200 \over 48} \times 120\)
⇒ DF = 500 cm
∴ The length of the longest side of triangle DEF is 500 cm.
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