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ABC is a triangle in which D is the midpoint of BC and E is the midpoint of AD. Which of the following statements is/are correct?
1. The area of triangle ABC is equal to four times the area of triangle BED
2. The area of triangle ADC is twice the area of the triangle BED
Select the correct answer using the code given below
  • a)
    1 only
  • b)
    2 only 
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
ABC is a triangle in which D is the midpoint of BC and E is the midpoi...

 
Median divides the triangle into two regions of equal area
⇒ Area of triangle ACD = Area of triangle ABD = ½ × Area of triangle ABC   [∵ AD is the median]
⇒ Area of triangle BED = ½ × Area of triangle ABD    [∵ BE is the median]
⇒ Area of triangle ADC = Area of triangle ABD = 2 × Area of triangle BED
⇒ Statement II is true
Area of triangle ABC = 2 × Area of triangle ABD = 4 × Area of triangle BED
⇒ Statement I is true
∴ Both 1 and 2 are true.
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Most Upvoted Answer
ABC is a triangle in which D is the midpoint of BC and E is the midpoi...
Option c is a right answer because it makes right triangles .
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ABC is a triangle in which D is the midpoint of BC and E is the midpoint of AD. Which of the following statements is/are correct?1. The area of triangle ABC is equal to four times the area of triangle BED2. The area of triangle ADC is twice the area of the triangle BEDSelect the correct answer using the code given belowa)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. Can you explain this answer?
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ABC is a triangle in which D is the midpoint of BC and E is the midpoint of AD. Which of the following statements is/are correct?1. The area of triangle ABC is equal to four times the area of triangle BED2. The area of triangle ADC is twice the area of the triangle BEDSelect the correct answer using the code given belowa)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about ABC is a triangle in which D is the midpoint of BC and E is the midpoint of AD. Which of the following statements is/are correct?1. The area of triangle ABC is equal to four times the area of triangle BED2. The area of triangle ADC is twice the area of the triangle BEDSelect the correct answer using the code given belowa)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABC is a triangle in which D is the midpoint of BC and E is the midpoint of AD. Which of the following statements is/are correct?1. The area of triangle ABC is equal to four times the area of triangle BED2. The area of triangle ADC is twice the area of the triangle BEDSelect the correct answer using the code given belowa)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. Can you explain this answer?.
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