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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 > Loci

Geometry - Loci

Expert: Azeem Hussain - 6/4/2009

Question

Triangle ABC

1. sketch and describe the locus of all points in a plane that are 4 centimeters from a circle with a radius of 8 centimeters.

2. sketch and describe the locus of all points in a plane that are equidistant from the sides of triangle ABC.

Answer
Hi Rhian,

1. The locus would be a circle with radius of 12 (8+4=12).

2. This locus is really just a single point, known as the orthocenter of the triangle. It is found by bisecting the three angles of the triangle and joining the bisectors. (This is the centre of an inscribed circle.)

Thanks for asking,
Azeem

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