Question
Download Solution PDFΔABC ∼ ΔDEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ΔDEF = 25 cm, then the perimeter of ΔABC is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ΔABC ~ ΔDEF
AB = 9.1 cm
DE = 6.5 cm
Perimeter of ΔDEF = 25 cm
Concept used:
The ratio of corresponding side of triangle is equal to the ration of their perimeter
Calculation:
According to the concept
⇒ \(\frac{AB} {DE} = \frac{\triangle ABC} {\triangle DEF} \)
⇒ \(\frac{9.1 } {6.5 } = \frac{\triangle ABC} {25} \)
⇒ ΔABC = 35 cm
⇒ Hence, The perimeter of the ΔDEF is 35 cm
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