8 3 pythag converse
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8-3The Converse of
the Pythagorean
Theorem
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The Converse of the Pythagorean Theorem
DON’T WRITE THIS!– 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.
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The Converse of the Pythagorean Theorem
If c2 = a2 + b2
Then right
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The Converse of the Pythagorean Theorem
• Example– Is this a right triangle?
7
8
113
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The Converse of the Pythagorean Theorem
• Example– How about this one?
15
36
495
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The Converse of the Pythagorean Theorem
DON’T WRITE THIS EITHER!
– 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.
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The Converse of the Pythagorean Theorem
If c2 < a2 + b2
Then Acute
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The Converse of the Pythagorean Theorem
YOU KNOW WHAT TO DO!
– 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.
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The Converse of the Pythagorean Theorem
If c2 > a2 + b2
Then Obtuse
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The Converse of the Pythagorean Theorem
• Example
– Are these side from a right, acute, or obtuse triangle?
38, 77, 86
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•SPICSA
page 2972-14even
The Converse of the Pythagorean Theorem