MathDB
Problems
Contests
National and Regional Contests
Kyrgyzstan Contests
Kyrgyzstan National Olympiad
2016 Kyrgyzstan National Olympiad
3
3
Part of
2016 Kyrgyzstan National Olympiad
Problems
(1)
find the area,
Source: KGZ national 3-problem
5/10/2016
Given a
△
A
B
C
\triangle ABC
△
A
BC
with sides
a
,
b
,
c
.
a,b,c.
a
,
b
,
c
.
Three tangents are drawn to the incircle of
△
A
B
C
\triangle ABC
△
A
BC
parallel to the sides of
△
A
B
C
\triangle ABC
△
A
BC
.These tangents cut three new little triangles.Three little incircles are drawn into new little triangles.Find the sum of the area of these 4 incircles.
geometry