An equilateral triangle is circumscribed about a circle of radius 10sqrt3. What is the perimeter of the triangle?

The perimeter of the triangle is 180 units.

Don't use plagiarized sources. Get Your Custom Essay on
An equilateral triangle is circumscribed about a circle of radius 10sqrt3. What is the perimeter of the triangle?
Just from \$13/Page

In the above image equilateral triangle ABC is circumscribed about a circle with radius ##=10sqrt3## units. Notice that the sides of the triangle are tangent to the circle, we draw a line segment from the center O to the vertex A, we also draw the radius OD. OA bisects angle A to two 30 degrees parts. And OD is perpendicular to AC.
Triangle OAD is 30-60-90 triangle, the sides have a ratio of:
##1 : sqrt3 : 2## , hence: AD ##=10sqrt3*sqrt3=30## units. Since OD bisects AC, we conclude that each side of the triangle ABC is 60 units therefore the perimeter is ##3*60=180## units.

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.