The value of the area of an equilateral triangle is irrational. What can you say about the sides of the triangle?
Can be either irrational or rational
Area of an equilateral triangle is given by √34a2. Here, √3 is an irrational number. Since, the value of area is irrational, it means a2 can be either rational or irrational. Thus, the length of the sides can be either rational or irrational.