Question

The perimeter of a triangle is 82
feet. One side of the triangle is 2
times the second side. The third side is 2
feet longer than the second side. Find the length of each side.

Answer 1

Answer:

Step-by-step explanation: let a, b, c represent the length first, second, and third sides respectively

a=2b,

c=2+b,

b

perimeter of the triangle= sum of all the lengths three sides=82feets

⇒(2b)+(2+b)+(b)=82

⇒2b+2+b+b=82

⇒4b+2=82

⇒4b=82-2

⇒4b=80

∴b=20feets

  a=2b=2×20=40feets

  c=2+b=2+20=22feets