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**Pythagorean Theorem And Its Converse**

3.9 Pythagorean Theorem And Its Converse

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**3.9 – Pythagorean Theorem & Converse**

In a RIGHT triangle a b c a + b = c 2

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**3.9 – Pythagorean Theorem & Converse**

Pythagorean Triple A set of NON-zero numbers that make Pythagorean Theorem work. Examples: 3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25

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**3.9 – Pythagorean Theorem & Converse**

Example: Find the length of the hypotenuse. Do they form a Pythag. Triple? 21 20

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**3.9 – Pythagorean Theorem & Converse**

Find the missing side. 8 20

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**3.9 – Pythagorean Theorem & Converse**

Can you use Pythag.’s Theorem to figure out if a triangle is a RIGHT triangle or not? Remember, Pythag.’s Theorem works for RIGHT triangles!!!

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**3.9 – Pythagorean Theorem & Converse**

Is the triangle a RIGHT triangle? 84 13 85

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**3.9 – Pythagorean Theorem & Converse**

Can we use Pythag.’s Theorem to tell us if a triangle is OBTUSE or ACUTE?

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**3.9 – Pythagorean Theorem & Converse**

YES we can!!!! If then the triangle is OBTUSE If then the triangle is ACUTE a + b < c 2 a + b > c 2

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**3.9 – Pythagorean Theorem & Converse**

Classify the triangle whose sides are 6, 11, and 14 as acute, obtuse, or right

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**3.9 – Pythagorean Theorem & Converse**

Classify the triangle whose sides are 7, 8, and 9 as acute, obtuse, or right

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