Respuesta :

Answer:

The length of EF = x = 18 cm

Option A is correct.

Step-by-step explanation:

Ware given perimeter of triangle = 97 cm

We need to find length of EF = x = ?

The length of EG = x+7

The length of EF = x

The length of GF = 3x

The formula used is: [tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle[/tex]

Putting values and finding x i.e length of EF

[tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm[/tex]

So, value of x=18 cm

The length of EF = x = 18 cm

Option A is correct.