Question

the base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches. what is the height of the triangular base of the pyramid? 9√2 in. 9√3 in. 18√2 in. 18√3 in.

Explanation:

Step1: Recall equilateral triangle height formula

For an equilateral triangle with side length $s$, height $h = \frac{\sqrt{3}}{2}s$

Step2: Substitute $s=18$ inches

$h = \frac{\sqrt{3}}{2} \times 18$

Step3: Simplify the expression

$h = 9\sqrt{3}$

Answer:

$9\sqrt{3}$ in. (Option B)