The triangle is equilateral, and the length of a side is b.
The height, h, is given by
[tex] \frac{b}{h} = \frac{2}{\sqrt{3}} [/tex]
Multiply each side by h
[tex]b= (\frac{2}{\sqrt{3}})b [/tex]
Multiply each side by √3/2.
[tex] \frac{\sqrt{3} \, b}{2} = h[/tex]
Answer: [tex]h= \frac{\sqrt{3} \, b}{2} [/tex]
