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Byju's Answer
Standard X
Mathematics
Perpendicular from Right Angle to Hypotenuse Divides the Triangle into Two Similar Triangles
In a Δ ABC,...
Question
In a
Δ
A
B
C
,
A
D
is the bisector of
∠
A
. If
A
B
=
6.4
c
m
,
A
C
=
8
c
m
and
B
D
=
5.6
c
m
, find
D
C
.
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Solution
A
D
bisects
∠
A
, we can apply angle-bisector theorem in
Δ
A
B
C
,
B
D
D
C
=
A
B
A
C
Substituting given values, we get
5.6
D
C
=
6.4
8
D
C
=
7
c
m
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Similar questions
Q.
In a
∆
A
B
C
,
A
D
is the bisector or
∠
A
.
(i) If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm, find DC.
(ii) If AB = 10 cm, AC = 14 cm and BC = 6 cm, find BD and DC.
(iii) If AB = 5.6 cm, BD = 3.8 cm and BC = 6 cm, find AC.
(iv) If AB = 5.6 cm, AC = 4 cm and DC = 3 cm, find BC.