Answer: The height of given triangle is also irrational.
Step-by-step explanation:
Since we have given that
Let the area be equilateral triangle.
Area of triangle is irrational say [tex]\sqrt{3}[/tex]
Base of triangle is rational say [tex]2[/tex]
So, the height of triangle would be
[tex]\dfrac{\sqrt{3}}{2}\times a=h\\\\\dfrac{\sqrt{3}}{2}\times 2=h\\\\h=\sqrt{3}[/tex]
Hence, the height of given triangle is also irrational.
