Question
Download Solution PDFIf ∆ABC ~ ∆EDF such that AB = 6 cm, DF = 16 cm and DE = 8 cm, then the length of BC is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
AB = 6 cm, DF = 16 cm and DE = 8 cm
Concept used:
When two triangles are similar, their corresponding angles are equal and their corresponding sides are proportional.
Calculation:
As ΔABC ~ ΔEDF
So, AB/DE = BC/DF = AC/FE
Now,
AB/DE = BC/DF
⇒ 6/8 = BC/16
⇒ BC = (6 × 16)/8
⇒ BC = 96/8
⇒ BC = 12 cm
∴ The length of BC is 12 cm.
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