Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

The base of a solid oblique pyramid is an equilateral triangle with an edge length of 5 units.

Which expression represents the height of the triangular base of the pyramid?

A. [tex]\(\frac{s}{2} \sqrt{2}\)[/tex] units
B. [tex]\(\frac{5}{2} \sqrt{3}\)[/tex] units
C. [tex]\(s \sqrt{2}\)[/tex] units
D. [tex]\(5 \sqrt{3}\)[/tex] units


Sagot :

To determine the height of the triangular base of the pyramid, we start by recalling that the base is an equilateral triangle with an edge length of [tex]\(5\)[/tex] units.

For an equilateral triangle with side length [tex]\(s\)[/tex], the height can be calculated using the formula:
[tex]\[ \text{Height} = \frac{s \sqrt{3}}{2} \][/tex]

Given that the side length [tex]\(s = 5\)[/tex] units, we substitute [tex]\(s\)[/tex] into the formula:
[tex]\[ \text{Height} = \frac{5 \sqrt{3}}{2} \][/tex]

Thus, the height of the triangular base of the pyramid is:
[tex]\[ \frac{5}{2} \sqrt{3} \][/tex]

Therefore, the correct expression that represents the height of the triangular base of the pyramid is:
[tex]\[ \frac{5}{2} \sqrt{3} \text{ units} \][/tex]