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Let a circle be the incircle of
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
Let a circle be the incircle of
△
A
B
C
\triangle ABC
△
A
B
C
. If tangents of lengths
t
a
t_a
t
a
,
t
b
t_b
t
b
, and
t
c
t_c
t
c
are drawn inside the triangle parallel to sides
a
a
a
,
b
b
b
, and
c
c
c
, respectively, then
t
a
a
+
t
b
b
+
t
c
c
\frac{t_a}{a}+\frac{t_b}{b}+\frac{t_c}{c}
a
t
a
+
b
t
b
+
c
t
c
is equal to (1)
0
0
0
(2)
1
1
1
(3)
2
2
2
(4)
3
3
3
Related theory
Similarity of Triangles
Similarity
Circles
Tangent length properties
Tangent to a circle
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