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

Answer 1

The answer is 9 sq root of 3

Answer 2

The height of the triangular base of the pyramid is calculated through the equation,
                                        h = (cos x)(18 in)
where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of  x is 30°. Substituting,
                                        h = (cos 30°)(18 in)
                                        h = 15.59 in
Thus, the height of the base is approximately 15.59 inches.