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Consider the triangle shown in the figure where BC = 12 cm, Db = 9 cm, CD = 6 cm and What is the ratio of the perimeter of the triangle ADC to that of the triangle BDC ?
  • a)
    7:9
  • b)
    8:9
  • c)
    6:9
  • d)
    5:9
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Answers

Here, ∠ACB = c+180-(2c-b) = 180-(b+c)
So, We can say that Δ BCD and &delta ABC will be similar.
According to property of similarity,
AB/12 = 12/9 
Hence, 
AB = 16
AC/6 = 12/9 
AC = 8
Hence, AD = 7 and AC = 8
Now,
Perimeter of Delta; ADC / Perimeter of &delta BDC,
= (6+7+8)/(9+6+12) 
= 21/27 = 7/9.

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Consider the triangle shown in the figure where BC = 12 cm, Db = 9 cm, CD = 6 cm andWhat is the ratio of the perimeter of the triangle ADC to that of the triangle BDC ?a)7:9b)8:9c)6:9d)5:9e)None of theseCorrect answer is option 'A'. Can you explain this answer? for GMAT 2023 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Consider the triangle shown in the figure where BC = 12 cm, Db = 9 cm, CD = 6 cm andWhat is the ratio of the perimeter of the triangle ADC to that of the triangle BDC ?a)7:9b)8:9c)6:9d)5:9e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the triangle shown in the figure where BC = 12 cm, Db = 9 cm, CD = 6 cm andWhat is the ratio of the perimeter of the triangle ADC to that of the triangle BDC ?a)7:9b)8:9c)6:9d)5:9e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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Here, ∠ACB = c+180-(2c-b) = 180-(b+c)So, We can say that Δ BCD and &delta ABC will be similar.According to property of similarity,AB/12 = 12/9Hence,AB = 16AC/6 = 12/9AC = 8Hence, AD = 7 and AC = 8Now,Perimeter of Delta; ADC / Perimeter of &delta BDC,= (6+7+8)/(9+6+12)= 21/27 = 7/9.