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CONVERSE OF THE PYTHAGOREAN THEOREM. PYTHAGOREAN TRIPLES Values that work as whole numbers in the Pythagorean Theorem Primitive Triples will not reduce.

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Presentation on theme: "CONVERSE OF THE PYTHAGOREAN THEOREM. PYTHAGOREAN TRIPLES Values that work as whole numbers in the Pythagorean Theorem Primitive Triples will not reduce."— Presentation transcript:

1 CONVERSE OF THE PYTHAGOREAN THEOREM

2 PYTHAGOREAN TRIPLES Values that work as whole numbers in the Pythagorean Theorem Primitive Triples will not reduce 3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25 All multiples of these are also triples, 6, 8, 10 etc…

3 DETERMINING IF A TRIANGLES IS ACUTE, RIGHT, OR OBTUSE If c 2 > a 2 + b 2, the triangle is obtuse. If c 2 = a 2 + b 2, the triangle is right. If c 2 < a 2 + b 2, the triangle is acute. Remember a + b > c, or it is not a triangle.

4 DETERMINE WHETHER EACH OF THE FOLLOWING IS A TRIANGLE. IF SO, TELL WHETHER IT IS ACUTE, RIGHT OR OBTUSE. 7, 8, 9 5, 12, 13 8, 11, 19 8, 15, 22

5 DETERMINE WHETHER EACH OF THE FOLLOWING IS A TRIANGLE. IF SO, TELL WHETHER IT IS ACUTE, RIGHT OR OBTUSE. 7, 24, 25 10, 11, 14 10, 15, 25 17, 20, 40 10, 17, 26 12, 15, 20


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