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It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm. Then, the following is true:
  • a)
    DE = 12 cm, ∠F = 50°
  • b)
    DE = 12 cm, ∠F = 100° 
  • c)
    EF = 12 cm, ∠D = 100°
  • d)
    EF = 12 cm, ∠D = 30°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 5...
According to given Question
ar(Larger Triangle)/ar(Smaller Triangle) = (side of larger triangle/side of larger triangle)2
ar(Larger Triangle)/48 = (3/2)2
ar(Larger Triangle) = (9 x 48 )/4
ar(Larger Triangle) = 108 cm2
This question is part of UPSC exam. View all Class 10 courses
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It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 5...
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It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 5...
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It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm. Then, the following is true:a)DE = 12 cm, ∠F = 50°b)DE = 12 cm, ∠F = 100°c)EF = 12 cm, ∠D = 100°d)EF = 12 cm, ∠D = 30°Correct answer is option 'B'. Can you explain this answer?
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It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm. Then, the following is true:a)DE = 12 cm, ∠F = 50°b)DE = 12 cm, ∠F = 100°c)EF = 12 cm, ∠D = 100°d)EF = 12 cm, ∠D = 30°Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm. Then, the following is true:a)DE = 12 cm, ∠F = 50°b)DE = 12 cm, ∠F = 100°c)EF = 12 cm, ∠D = 100°d)EF = 12 cm, ∠D = 30°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm. Then, the following is true:a)DE = 12 cm, ∠F = 50°b)DE = 12 cm, ∠F = 100°c)EF = 12 cm, ∠D = 100°d)EF = 12 cm, ∠D = 30°Correct answer is option 'B'. Can you explain this answer?.
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