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| Math Central | Quandaries & Queries |
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I'm doing an project in school about tessellations. But first, I have to construct an equilateral triangle with an altitude of exactly 2 inches. I know how to draw an equilateral triangle...but I don't know what I have to do in order for the triangle to have an altitude of 2 inches. Thank you, Christine |
Hi Christine,
By construct I expect that you mean with straight edge and compass but in addition you have a way to measure 2 inches.
I would start by constructing a 60 degree angle and then bisecting it.
Now measure along the bisector a distance of 2 inches to a point P. At P construct a line which is perpendicular to the bisector.
Now you have an equilateral triangle. Can you see why?
Penny
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