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Geometry/Loci
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Question
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.
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2. sketch and describe the locus of all points in a plane that are equidistant from the sides of triangle ABC.
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
Azeem Hussain
Expertise
I can answer mostly any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry.
Experience
Drop-in tutor at Champlain College since 2010.
I am neither a professor nor a teacher of this subject. I am merely a student who is good at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.
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Presently enrolled in Materials Engineering at McGill University.
Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert.
Diploma of Secondary Studies from Chambly Academy High School.
Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.
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