Answer:
C.E=18 cm
Step-by-step explanation:
we know that
If the circle O is inscribed in triangle ABC
then
A.F=A.D=6 cm
B.D=B.E=14 cm
C.F=C.E=?
The perimeter of triangle is equal to
P=2(6)+2(14)+2(C.E)
P=76 cm
so
76=2(6)+2(14)+2(C.E) -----> solve for C.E
76=12+28+2C.E
2C.E=76-40
C.E=36/2
C.E=18 cm
