Question
Download Solution PDFΔABC ~ ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ΔABC ~ ΔDEF
The perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively.
DE = 6 cm
Concept
When two triangles are similar we can say:
AB/DE = Perimeter of ΔABC/Perimeter of ΔDEF
Calculation
ΔABC ∼ ΔDEF
⇒ AB/DE = Perimeter of ΔABC/Perimeter of ΔDEF
⇒ AB/6 = 40/12
⇒ AB = (40/12) × 6
∴ AB = 20 cm
The length of AB is 20 cm.
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