Question

A circle is inscribed in triangle ABC having sides AB=8cm, BC=10cm and CA=12cm

find AD, BE and CF​

Answer 1

Answer:

7 cm

Step-by-step explanation:

Given,

x+y=8cm ....(1)

y+z=12cm .....(2)

x+z=10cm .....(3)

Adding (1), (2) and (3), we get

2(x+y+z)=30

x+y+z=30/2

x+y+z=15 .....(4)

Equation (4)−(2), we get

x+12=15

x=15−12

x=3

Equation (4)−(3), we get

10+y=15

y=15−10

y=5

(4)−(1), we get

8+z=15

z=15−8

z=7

So,

AD=3 cm

BE=5 cm

CF=7 cm Answer.