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A line segment is shown below; the ends of the line segment are shown as points. (Note that the "unit" can be inches, feet, meters, or any other type of length measurement.If the unit is specified, use that particular unit; otherwise, the generic term "units" is sufficient.)square (a rectangle whose length and width are equal) with sides of length 1.Because of the shape of a triangle, we cannot neatly fit the squares into it.
Like, basic rules about parallel and intersecting lines and the angles formed: The solutions below are by design not rigorous proofs, but rather provide just enough information to make the true solution very obvious to most readers.
You must click to find the images associated with these solutions -- so as to not spoil the fun for those that want to try to find the solution for themselves first.
This derivation, although not shown in its full mathematical rigor, produces the correct area formula for all triangles, not just the one shown above.
Description CTY's Problem Solving courses sharpen investigative skills, broaden mathematical understanding of concepts, and enhance reasoning skills.
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Geometry studies points, lines, shapes, angles, and the relationships between them.
We will consider some simple shapes, such as triangles and rectangles, and will discuss how to calculate some of their properties.
Students who are unable to attend live sessions will need a computer with the Zoom desktop client installed to watch recorded meetings.
The Zoom desktop client and Zoom Mobile App are both available for free download.