Question

In fig. 4, a circle inscribed in triangle abc touches its sides ab, bc and ac at points d, e and f respectively. if ab =12cm,bc=8cm and ac=10cm, then find the length of ad, be and cf.

Answer 1

Hey....!
Here is your answer!!

Answer 2

ad=af
fc=ce
be=bd

from the above equations
af+bd=12------>1
bd+ce=8------->2
af+ce=10------->3

adding the three equations
2af + 2bd + 2ce=30
af+bd+ce=15----->4

from 1 and 4 ,ce=3
from 2 and 4 ,af=7
from 3 and 4, bd=5