UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn more
Does there exist an equilateral triangle with sides \(27\), \(27\), \(27\)? In general, does there exist an equilateral triangle of any sidelength? Justify your answer.
 
Interpretation:
 
, an equilateral triangle with sides \(27\), \(27\), \(27\) exists because the sum of two sides is than the third side.

In an equilateral triangle, all sides are , so this condition is satisfied.

So, an equilateral triangle always exists for  sidelength.