Question

triangle mno is an equilateral triangle with sides measuring 16√3 units. what is the height of the triangle?
○ 12 units
○ 24 units
○ 36 units
○ 72 units

Explanation:

Step1: Recall height formula for equilateral triangle

Let side of equilateral triangle be $a$. Height $h = \frac{\sqrt{3}}{2}a$. Given $a = 16\sqrt{3}$.

Step2: Substitute value of $a$

$h=\frac{\sqrt{3}}{2}\times16\sqrt{3}= \frac{16\times3}{2}=24$.

Answer:

24 units