Geometry Musings #5 Triangle Incenter

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This morning I decided to demonstrate how to use a compass and straight rule to find the incenter of a triangle.

This is a relatively easy task, especially given this rather cool way of bisecting an angle.

To construct this diagram, simly draw out a triangle:

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Draw two concentric circles on two vertices:

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Join each alternate segment like so:

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Draw a line that from the vertex through the intersection:

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Where they meet is the incenter. (incentre for UK?!)

Then colour it in for a laugh:

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2 thoughts on “Geometry Musings #5 Triangle Incenter

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