The perimeter of a triangle is 76cm. Side a of triangle is twice as long as side b. side c is 1cm longer than side a. find the length of each side.

wendi1019gt 2022-08-05 Answered
The perimeter of a triangle is 76cm. Side a of triangle is twice as long as side b. side c is 1cm longer than side a. find the length of each side.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Preston Espinoza
Answered 2022-08-06 Author has 8 answers
Side a of triangle is twice as long as side b a=2b
side c is 1cm longer than sidea c=a+1
The perimeter of a triangle is76cm a+b+c=76 (1)
substitute a=2b & c=a+1 to equation (1)
2b+b+a+1=76 (2)
substitute a=2b to equation (2)
2b+b+2b+1=76
simplify 5b+1=76
subtract 1 from both side
5b=75
divide both side by 5
b=15cm
side a=2b=2*15=30 cm
side c=a+1=30+1= 31 cm
if add them up again, you will get the perimeter= 76cm (30+31+15=76cm)

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions