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# 8 3 Pythag Converse

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### 8 3 Pythag Converse

1. 1. 8-3 The Converse of the Pythagorean Theorem
2. 2. The Converse of the Pythagorean Theorem <ul><ul><li>DON’T WRITE THIS! </li></ul></ul><ul><ul><li>If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle. </li></ul></ul>
3. 3. The Converse of the Pythagorean Theorem If c 2 = a 2 + b 2 Then right
4. 4. The Converse of the Pythagorean Theorem <ul><li>Example </li></ul><ul><ul><li>Is this a right triangle? </li></ul></ul>7 8  113
5. 5. The Converse of the Pythagorean Theorem <ul><li>Example </li></ul><ul><ul><li>How about this one? </li></ul></ul>15 36 4  95
6. 6. The Converse of the Pythagorean Theorem <ul><li>DON’T WRITE THIS EITHER! </li></ul><ul><ul><li>If the square of the length of the longest side of a triangle is less than the sum of the square of the lengths of the other two sides, then the triangle is acute . </li></ul></ul>
7. 7. The Converse of the Pythagorean Theorem If c 2 < a 2 + b 2 Then Acute
8. 8. The Converse of the Pythagorean Theorem <ul><li>YOU KNOW WHAT TO DO! </li></ul><ul><ul><li>If the square of the length of the longest side of a triangle is greater than the sum of the square of the lengths of the other two sides, then the triangle is obtuse . </li></ul></ul>
9. 9. The Converse of the Pythagorean Theorem If c 2 > a 2 + b 2 Then Obtuse
10. 10. The Converse of the Pythagorean Theorem <ul><li>Example </li></ul><ul><ul><li>Are these side from a right, acute, or obtuse triangle? </li></ul></ul><ul><ul><ul><ul><li>38, 77, 86 </li></ul></ul></ul></ul>
11. 11. <ul><li>SPICSA page 297 2-14 even </li></ul>The Converse of the Pythagorean Theorem
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