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Mathematics
Mathematics
Problem
A triangular metal plate
△
A
B
C
\triangle ABC
△
A
B
C
has a circle inscribed within it. The circle touches side
B
C
BC
B
C
at
D
D
D
,
C
A
CA
C
A
at
E
E
E
, and
A
B
AB
A
B
at
F
F
F
. If
A
F
=
4
cm
AF = 4\,\text{cm}
A
F
=
4
cm
,
B
D
=
6
cm
BD = 6\,\text{cm}
B
D
=
6
cm
, and
C
E
=
8
cm
CE = 8\,\text{cm}
C
E
=
8
cm
, calculate the perimeter of the triangle
△
A
B
C
\triangle ABC
△
A
B
C
.
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