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Directions: Kindly study the following Question carefully and choose the right answer:
In a ΔABC, AD is perpendicular to BC and BE is perpendicular to AC. Which of the following is correct?
  • a)
    CE × CB = CA × CD
  • b)
    CE × CA = CD × CB
  • c)
      AD × BD = AE × BE
  • d)
    AB × AC = AD × BE
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Kindly study the following Question carefully and choose t...
Explanation:

Given Information:
- In triangle ΔABC, AD is perpendicular to BC and BE is perpendicular to AC.

Proof:
- We will prove the statement AD × BD = AE × BE.
- By the property of perpendicular lines, we know that triangles ABD and ABE are similar.
- This implies that the ratio of the sides of these two triangles will be equal.
- Therefore, AD/AB = AE/AE.
- This simplifies to AD × BD = AE × BE.
Therefore, the correct answer is option 'c) AD × BD = AE × BE'.
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Community Answer
Directions: Kindly study the following Question carefully and choose t...

From Eqs. (i) and (ii),

Hence, option C is correct.
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Directions: Kindly study the following Question carefully and choose the right answer:In a ΔABC, AD is perpendicular to BC and BE is perpendicular to AC. Which of the following is correct?a)CE × CB = CA × CDb)CE × CA = CD × CBc)AD × BD = AE × BEd)AB × AC = AD × BECorrect answer is option 'C'. Can you explain this answer?
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