Question

Height of equilateral triangle equation

Answer 1

Step-by-step explanation:

a² = h² + (a/2)²

h² = a² - (a/2)²

h² = a² - a²/ 4

h² = 4a²-a²/4

h² = 3a²/4

h = √(3a²/ 4)

h = √3 a/ 2

$h = \frac{ \sqrt{3} a}{2}$