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 ΔABC ~ ΔDEF Perimeter( ΔABC )= 15 cm, Perimeter( DEF )=25 cm.If AB= 6 cm, then find DE.
  • a)
    14
  • b)
    12
  • c)
    10
  • d)
    16
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
ΔABC ~ ΔDEF Perimeter( ΔABC )= 15 cm, Perimeter( DEF )=...
Ratios of perimeter of similar triangles are equal to the ratio of their sides.
So Perimeter of ABC/perimeter of DEF=15/25=⅗
AB/DE=⅗
DE=6*5/3=10
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Most Upvoted Answer
ΔABC ~ ΔDEF Perimeter( ΔABC )= 15 cm, Perimeter( DEF )=...
When triangle ABC~DEF...then p1/p2=AB/DE=BC/EF/AC/AF
soo 15/25=6/x
3/5=6/x
x=10 cm
DE=10 cm
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Community Answer
ΔABC ~ ΔDEF Perimeter( ΔABC )= 15 cm, Perimeter( DEF )=...
According to a theorem = ratios of perimeters of ∆ is equal to ratios of the corresponding sides. p¹/p² = AB/DE 15/25 = 6/DE answer DE = 10
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ΔABC ~ ΔDEF Perimeter( ΔABC )= 15 cm, Perimeter( DEF )=25 cm.If AB= 6 cm, then find DE.a)14b)12c)10d)16Correct answer is option 'C'. Can you explain this answer?
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