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Given this super-sized board (16x16), what integer lengths are possible for slanted segments? Use the line tool to sketch them (using a different color for each one). Label each length. Then describe how you found them.

Given this supersized board 16x16 what integer lengths are possible for slanted segments Use the line tool to sketch them using a different color for each one L class=

Respuesta :

A way to find integer line segments is using Pythagorean triples, that is, positive integers that are consistent with the Pythagorean theorem, for example, (3,4,5) because we have

[tex]3^{2^{}}+4^2=5^{2^{}}[/tex]

therefore, they can be put in a triangle like this

Therefore, the slanted segment would have a length of 5. That can be done with other Pythagorian triples like (5,12,13) or (8,15,17).

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