Question

a circle is inscribed in a triangle ABC having side 8cm,10cm,and 12cm, find AD ,BE and CF​

Answer 1

Step-by-step explanation:

x+y =8cm (1)

y+z=12 cm( 2 )

x+z=10 cm (3)

(1) ,(2) and(3)

2(x+y+z) = 30

x+y+z = 15 (4)

(4)-( 2) .......

x+12= 15

x= 3

(4)-(3).....

10+y = 15

y= 5

(4)-(1).......

8+z = 15

z= 7

AD= 3cm

BE= 5cm

CF= 7cm