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Converse of Pythagorean Thm. If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. Some Pythagorean Triples…. 3,4,5 (or 6,8,10 or 9,12,15 or 12,16,20, or 15, 20, 25) 5,12,13 (or 10, 24, 26) 8,15,17 7,24,25.

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converse of pythagorean thm
Converse of Pythagorean Thm
  • If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
some pythagorean triples
Some Pythagorean Triples…
  • 3,4,5 (or 6,8,10 or 9,12,15 or 12,16,20, or 15, 20, 25)
  • 5,12,13 (or 10, 24, 26)
  • 8,15,17
  • 7,24,25
other options
If c^2<a^2+b^2, then m<C is less than 90… and

triangle is ACUTE

If c^2>a^2+b^2, then m<C is greater than 90… and

triangle is OBTUSE

Other options…