CONVERSE OF THE PYTHAGOREAN

THEOREM

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…

DETERMINING IF A TRIANGLES IS ACUTE, RIGHT, OR OBTUSE

• If c2 > a2 + b2, the triangle is obtuse.• If c2 = a2 + b2, the triangle is right.• If c2 < a2 + b2, the triangle is acute.

• Remember a + b > c, or it is not a triangle.

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

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