Mr. Shively’s TV cabinet is 30 inches tall and 40 inches wide. Best Buy is selling 50 inch, 55 inch, 60 inch, and 65 inch TVs. O
f those options, which one should he buy? Explain your answer using mathematics , please explain using Pythagorean theorem.
1 answer:
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Answer:
regular octagon
Step-by-step explanation:
In order for a shape to tessellate a plane, there must be a way to arrange the shapes so that the sum of angles at a node is 360°. An arrangement of kites is shown in the attachment. Of course, squares are used to tile planes all the time, as their four 90° corners fit together nicely.
An octagon has internal angles of 135°, which is not a sub-multiple of 360°. Hence there is no way for octagons to fit together to tile a plane.
Octagons will not tessellate a plane.
