Home | About Mathguru | Advertisements | Teacher Zone | FAQs | Contact Us | Login

 
If you like what you see in Mathguru
Subscribe Today
For 12 Months
US Dollars 12 / Indian Rupees 600
Available in 20 more currencies if you pay with PayPal.
Buy Now
No questions asked full moneyback guarantee within 7 days of purchase, in case of Visa and Mastercard payment
  

Example:Construct Equilateral Triangle

Post to:

Bookmark and Share



Explanation:

 

Equilateral triangle

Equilateral triangle


An equilateral triangle is a regular polygon.

Type

triangle,
2-simplex

Edges and vertices

3

Schläfli symbol

{3}

Coxeter-Dynkin diagrams

Symmetry group

D3

Area

Internal angle (degrees)

60°

In geometry, an equilateral triangle is a triangle in which all three sides are equal. In traditional or Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. They are regular polygons, and can therefore also be referred to as regular triangles.

 

http://en.wikipedia.org/wiki/Equilateral_triangle

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.

 

 

(Our solved example in mathguru.com uses the below concept. This is our own explanation, it is not taken from Wikipedia.)

 

To construct an equilateral triangle when its altitude is given

E.g.: Construct an equilateral triangle whose altitude is x units

Steps of Construction:

1. Draw any line segment PQ.

2. Take a point D on PQ and At D, construct perpendicular DR to

PQ. From DR, cut off DA = 4 cm.

3. At A, construct DAS = DAT = × 60° = 30° on either side of AD.

Let AS and AT meet PQ at points B and C respectively.

Then, ABC is the required equilateral triangle.