Respuesta :
Answer:
The length of shorter side is 18.
The length of longest side is [tex]x+7=18+7=25[/tex].
The length of remaining side is [tex]x+4=18+4=22[/tex].
Step-by-step explanation:
Given that,
Perimeter of triangle is 65.
The length of longest side is 7 centimeter longer than the shorter side.
Length of remaining side is 4 centimeter longer than the shorter side.
Let,
The length of shorter side is [tex]x[/tex].
According to question,
length of longest side is [tex]x+7[/tex], and length of remaining side is [tex]x+4[/tex].
∵Perimeter of triangle is = 65
⇒ Perimeter of triangle = sum of the length of three sides
⇒ Perimeter of triangle = [tex](x)+(x+7)+(x+4)[/tex]
⇒ [tex]3x+11=65[/tex]
∴ [tex]x=18[/tex]
Now,
The length of shorter side is 18.
The length of longest side is [tex]x+7=18+7=25[/tex].
The length of remaining side is [tex]x+4=18+4=22[/tex].
