Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions


Let the number of sides be n and use the formula: 1/2n(n-3) = diagonals 

1/2n(n-3) = 27 

Multiply both sides by 2 and then form a quadratic equation: 

n2-3n-54 = 0 

Solving the above quadratic equation works out as: 

n = -6 or n = 9 it must be the latter because the sides can't be negative 

Therefore the polygon has 9 sides. 
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts