UPSC Exam  >  UPSC Questions  >  In the given figure, AD is the bisector of &a... Start Learning for Free
In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.



  • a)
    11.3 cm 

  • b)
    4 cm

  • c)
    3.5 cm 

  • d)
    2.5 cm

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5...
We know that the internal bisector of angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.

Hence:


In triangle ABD and ACD


Angle BAD = CAD (Given AD is the bisector)


Angle ABD = ACD (GIven)


there fore they are similar (AAA Property)


AB/BD = AC/CD

6/3 = 5/CD

CD = 2.5 cm
Explore Courses for UPSC exam

Top Courses for UPSC

In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer?
Question Description
In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the given figure, AD is the bisector of ∠BAC, AB = 6 cm, AC = 5 cm and BD = 3 cm. Find DC. It is given that ∠ABD = ∠ACD.a)11.3 cmb)4 cmc)3.5 cmd)2.5 cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev