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Pythagorean Inequality

Directions: Use the whole numbers 1 through 6, at most one time each, to find three side lengths that are two-digits each and form an acute triangle.



How can you make sure that it is a triangle?
How can you use the Pythagorean Theorem to make sure it is an obtuse triangle?
How is the Pythagorean Theorem for an obtuse triangle than the Pythagorean Theorem for a right triangle?



23, 46, 51
26, 43, 51
(more may be possible)

Source: Samantha Cruz

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