Question

A circle is inscribed in a triangle ABC, with side AC,AB and BC as 8 cm,10 cm and 12 cm respectively. Find the length of AD,BE and CF

Answer 1

The length of AD=5 cm BE=3cm CF=7cm

1 ABC is the triangle.

2 A circle is drawn inside the triangle

3 D,E,F be the points onAC,CB,BA

4 AD=AF=x; DC=CE=y;EB=BF=z

5 x+y=8; y+z=10;z+x=12

6 On adding

x+y+z=15

7 x+y+z-y-z=15-10

X=5

8 x+y+z-x-y=15-8

Z=7

9 x+y+z-z-x=15-12

Y=3

10 AD=5cm ; BE=3CM ; CF=7cm