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Pythagorean Theorem, Converse & Inequalities
If given 2 sides of a right triangle, find the length of the 3rd side. If given lengths of 3 sides of figure, decide if it could be a triangle, and, if so, if it is a right, acute, or obtuse triangle.
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| A | B |
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| leg = 4, hyp = 8 | leg = 4 rad 3 |
| 5, 12, 13 | right |
| 6, 9, 16 | not a triangle at all |
| 14, 14, 20 | obtuse |
| 10, 13, 14 | acute |
| leg = 5, leg = 5 | hyp = 5 rad 2 |
| leg = 3, leg = 3 rad 3 | hyp = 6 |
| 4, 6, 11 | not a triangle at all |
| 10, 10, 10 rad 2 | right |
| 21, 25, 30 | acute |
| 13, 13, 20 | obtuse |
| leg = 7, hyp = 25 | leg = 24 |
| 43, 23, 70 | not a triangle at all |
| 24, 25, 33 | acute |
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Faculty |
Althoff Catholic High School |
| Belleville, IL |
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