Question

bc, ad and ae are tangents to the circle, if ab = 12 cm, find the perimeter of triangle abc

Answer 1

From the figure,
AD=AE(since they are tangents to the circle)..(1)
LET THE POINT AT WHERE BC CONTACTS THE CIRCLE BE N
CE=CN .......(2)
and BD=BN......(3)

Therefore perimeter of ABC
AB+BN+AC+CN=AB+BD+AC+CE(from(2)and(3))
AD+AE=2(AD)(from(1))
2(12)=24cm

Answer 2

Perimeter of triangle ABC = 24 cm if bc, ad and ae are tangents to the circle, & ab = 12 cm

Step-by-step explanation:

Perimeter of triangle ABC

= AB + BC + AC

= (AD - BD)  + BC  + (AE - CE)

Let say BC touches circle at P

= (AD - BD) + (BP + CP)  + ( AE - CE)

AE & AD are tangent from A on same circle

hence AD = AE = 12

BP = BD  Tangent from B

CP = CE  Tangent from C

Perimeter = ( 12 - BP) + ( BP + CP) + (12 - CP)

= 24

Learn more:

In the picture, a right triangle is formed by twomutually perpendicular ...

https://brainly.in/question/13279018

∆ABC is an isosceles triangle.Its perimeter is 44 cm and base BC ...

https://brainly.in/question/11793384