1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Theorem of Equal Angles Subtended by Different Chords
20. In ABC, A...
Question
20. In ABC, AB = AC. If the interior circle ofABC touches the sides AB, BC and CA at D, E, F respectively. Prove that E bisects BC.
Open in App
Solution
Suggest Corrections
35
Similar questions
Q.
Let s denotes the semi – perimeter of a ∆ ABC, in which BC=a, CA=b and AB=c , if a circle touches the sides BC, CA , AB at D,E,F respectively prove that BD = s - b.
Q.
The incircle of an isosceles triangle
A
B
C
,
B
A
=
B
C
, touches the sides
A
B
,
B
C
and
C
A
at
D
,
E
and
F
respectively. Prove that
F
bisects
A
C
.
Q.
A circle touches the side
B
C
of
△
A
B
C
at
P
and touches
A
B
and
A
C
produced at
Q
and
R
respectively. Prove that
A
Q
=
1
2
(perimeter of
△
A
B
C
).
Q.
Let's denote the semi-perimeter of a triangle ABC in which BC
=
a, CA
=
b, AB
=
c. If a circle touches the sides BC, CA, AB at D, E, F respectively, prove that BD
=
s
−
b.
Q.
Question 2
Let s denotes the semi – perimeter of a ∆ ABC, in which BC=a, CA=b and AB=c , if a circle touches the sides BC, CA , AB at D,E,F respectively prove that BD = s - b.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Circles and Their Chords - Theorem 2
MATHEMATICS
Watch in App
Explore more
Theorem of Equal Angles Subtended by Different Chords
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app