Class 9 Exam > Class 9 Questions > If the bisector of the angle A of aABCis perp...
Start Learning for Free
If the bisector of the angle A of a △ABC is perpendicular to the base BC of the triangle then the triangle ABC is :
- a)Obtuse Angled
- b)Isosceles
- c)Scalene
- d)Equilateral
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the bisector of the angle A of aABCis perpendicular to the base BC ...
If the bisector of angle A of a triangle is perpendicular to the base BC of the triangle then the triangle ABC is:
B: Isosceles
Solution:
- The angle bisector of angle A divides the angle into two equal parts.
- For this bisector to be perpendicular to base BC, angles B and C must be equal.
- This means that triangle ABC has two equal sides opposite these equal angles.
- Therefore, triangle ABC is isosceles.
B: Isosceles
Solution:
- The angle bisector of angle A divides the angle into two equal parts.
- For this bisector to be perpendicular to base BC, angles B and C must be equal.
- This means that triangle ABC has two equal sides opposite these equal angles.
- Therefore, triangle ABC is isosceles.
Most Upvoted Answer
If the bisector of the angle A of aABCis perpendicular to the base BC ...
Explanation:
When the bisector of angle A of triangle ABC is perpendicular to the base BC, it divides the angle A into two equal angles of 45 degrees each.
Isosceles Triangle:
As we know that the sum of angles of a triangle is 180 degrees, so angle B and angle C must be equal to 67.5 degrees each. Therefore, the triangle ABC is an isosceles triangle.
Properties of Isosceles Triangle:
An isosceles triangle has two sides of equal length. It also has two angles of equal measure.
Conclusion:
Hence, the correct option is 'B' i.e. Isosceles Triangle.
When the bisector of angle A of triangle ABC is perpendicular to the base BC, it divides the angle A into two equal angles of 45 degrees each.
Isosceles Triangle:
As we know that the sum of angles of a triangle is 180 degrees, so angle B and angle C must be equal to 67.5 degrees each. Therefore, the triangle ABC is an isosceles triangle.
Properties of Isosceles Triangle:
An isosceles triangle has two sides of equal length. It also has two angles of equal measure.
Conclusion:
Hence, the correct option is 'B' i.e. Isosceles Triangle.
Free Test
FREE
| Start Free Test |
Community Answer
If the bisector of the angle A of aABCis perpendicular to the base BC ...
By ASA congruence the two small triangles formed are congruent to each other.
so , AB =AC by CPCT
therefore , the triangle is an isosceles triangle .
so , AB =AC by CPCT
therefore , the triangle is an isosceles triangle .
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Question Description
If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. 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 If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. 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 If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. Can you explain this answer?.
If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. 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 If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. 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 If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the bisector of the angle A of aABCis perpendicular to the base BC of the triangle then the triangle ABC is :a)Obtuse Angledb)Isoscelesc)Scalened)EquilateralCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup