Question

the sides BC,CA, and AB of a triangle ABC touches a circle at D, E, F respectively. If AB=13cm, BC=14cm,and AE=7cm,the find AC​

Answer 1

Answer:

i think the correct answer is 7

Step-by-step explanation:

1. hope this answer
2. thanks yarr

Answer 2

Answer:

Step-by-step explanation:

Solution:

Hello mate ✌️

✍.....

We know that tangents from an external point are equal in length.

Given :

AB = 12 cm

BC= 8 cm

AC = 10 cm

Now let us take A as external point,thus

AD = AF

let AD = AF = x cm

So, DB = 12-x = BE [tangent from external point B]

CE = 8-12+x = -4+x = CF [tangent from external point C]

Since perimeter of ∆ABC does not change so

12+8+10= x+x+12-x+12-x-4+x-4+x

30=2x+16

2x=30-16

2x=14

x = 7 cm

So, AD = AE = 7 cm

BD=BE = 12-7=5 cm

CE=CF= -4+7=3 cm

Hope it helps you.

❤️✌️❤️✌️❤️✌️