A circle is inscribed in a triangle ABC, having sides 8 cm , 10 cm and 12 cm. Find AD , BE and CF ( these 3 are altitudes of triangle ABC).
Here
x+y=8 ...(1)
y+z=12...(2)
x+z=10...(3)
Adding (1),(2) and (3),
2(x+y+z)=30
x+y+z=15 ..(4)
(4)-(2) ==>x=3
(4)-(3)==>y=5
(4)-(1)==>x=7