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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Construction of Equilateral Triangle Around Given Center

Geometry - Construction of Equilateral Triangle Around Given Center


Expert: Azeem Hussain - 6/16/2009

Question
Given only the length of the sides of an equilateral triangle and a point, how do I construct the equilateral triangle centered around this point?

Answer
Hey Dauda!

Begin by constructing an equilateral (elsewhere on the page) using the given side length.  Make this in the usual way, putting your compass on both endpoints and joining the arcs above.  Now you have an equilateral triangle with the proper side length, but in the wrong location.

Bisect two sides of the triangle and join the bisectors.  This will give you the centre of the triangle.  Now put your compass point on the centre and measure the distance to one corner of the triangle.  Keep this radius.

Go to the point around which you are supposed to make the equilateral.  Make a circle with the radius you just found.  Now return to the original length of the sides of the equilateral.  Put your compass point anywhere on the circle you just drew.  You will be able to make arcs in two places on the circle.  These two arcs (plus the point on the circle where the compass was) are the vertices of the equilateral triangle.  Join them.

Thanks for asking,
Azeem

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