Illuminations: Square in a Pentagon
Square in a Pentagon
The diagram above shows the top of a regular pentagon with the top of a square inscribed in it. The shapes share a vertex at the top, and the other two vertices of the square lie on the sides of the pentagon. If the diagram were continued to include the entire pentagon and the entire square, which shape would extend below the other?
In other words, does the whole square fit inside the pentagon, does the square protrude at the bottom, or do the square and pentagon meet at a single point?
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Resource k12
Square in a Pentagon
The diagram above shows the top of a regular pentagon with the top of a square inscribed in it. The shapes share a vertex at the top, and the other two vertices of the square lie on the sides of the pentagon. If the diagram were continued to include the entire pentagon and the entire square, which shape would extend below the other?
In other words, does the whole square fit inside the pentagon, does the square protrude at the bottom, or do the square and pentagon meet at a single point?
Problem and solution
What are you looking for?
Organization
Website URL
Type of Resource
PDF File