Pythagorean Theorem And Its Converse 3.9 Pythagorean Theorem And Its Converse

3.9 – Pythagorean Theorem & Converse In a RIGHT triangle a b c a + b = c 2

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

3.9 – Pythagorean Theorem & Converse Example: Find the length of the hypotenuse. Do they form a Pythag. Triple? 21 20

3.9 – Pythagorean Theorem & Converse Find the missing side. 8 20

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!!!

3.9 – Pythagorean Theorem & Converse Is the triangle a RIGHT triangle? 84 13 85

3.9 – Pythagorean Theorem & Converse Can we use Pythag.’s Theorem to tell us if a triangle is OBTUSE or ACUTE?

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

3.9 – Pythagorean Theorem & Converse Classify the triangle whose sides are 6, 11, and 14 as acute, obtuse, or right

3.9 – Pythagorean Theorem & Converse Classify the triangle whose sides are 7, 8, and 9 as acute, obtuse, or right