Class 9 Exam > Class 9 Questions > D is a Point on the Side BC of aABC such that...
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D is a Point on the Side BC of a △ABC such that AD bisects ∠BAC then:
- a)BD = CD
- b)CD > CA
- c)BD > BA
- d)BA > BD
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
D is a Point on the Side BC of aABC such that AD bisects∠BAC then:...
Correct, option 'D' is the correct answer.
When AD bisects ∠BAC, it means that angle BAC is split into two equal angles, BDA and BAC. Since BDA and BAC are equal, it means that angle BDA is half of angle BAC, and angle BAC is twice angle BDA.
Therefore, angle BAD is less than angle BAC.
As the angle BAC is greater than angle BAD, then it follows that side BA is greater than side BD.
Therefore, BA > BD.
In a triangle, the sum of the two smaller sides will always be greater than the largest side, which is called the triangle inequality theorem.
Most Upvoted Answer
D is a Point on the Side BC of aABC such that AD bisects∠BAC then:...
Based on the given information, we can conclude that AD is the angle bisector of angle A in triangle ABC.
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D is a Point on the Side BC of aABC such that AD bisects∠BAC then:...
D
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D is a Point on the Side BC of aABC such that AD bisects∠BAC then:a)BD = CDb)CD > CAc)BD > BAd)BA > BDCorrect answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about D is a Point on the Side BC of aABC such that AD bisects∠BAC then:a)BD = CDb)CD > CAc)BD > BAd)BA > BDCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for D is a Point on the Side BC of aABC such that AD bisects∠BAC then:a)BD = CDb)CD > CAc)BD > BAd)BA > BDCorrect answer is option 'D'. Can you explain this answer?.
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