Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

The sides of an equilateral triangle are 8 units long. What is the length of the altitude of the triangle?

A. [tex]\(5 \sqrt{2}\)[/tex] units
B. [tex]\(4 \sqrt{3}\)[/tex] units
C. [tex]\(10 \sqrt{2}\)[/tex] units
D. [tex]\(16 \sqrt{5}\)[/tex] units

Sagot :

GinnyAnswer
To find the length of the altitude of an equilateral triangle with a side length of 8 units, we use the following steps:

1. Recall the formula for the altitude [tex]\( h \)[/tex] of an equilateral triangle with side length [tex]\( a \)[/tex]:
[tex]\[ h = \frac{a \sqrt{3}}{2} \][/tex]

2. Substitute the given side length [tex]\( a = 8 \)[/tex] units into the formula:
[tex]\[ h = \frac{8 \sqrt{3}}{2} \][/tex]

3. Simplify the expression:
[tex]\[ h = 4 \sqrt{3} \][/tex]

Therefore, the altitude of the equilateral triangle with a side length of 8 units is [tex]\( 4 \sqrt{3} \)[/tex] units.

So, the correct answer is:
[tex]\[ 4 \sqrt{3} \text{ units} \][/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.