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7.2 Use the Converse of the Pythagorean Theorem
Hubarth Geometry
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The Converse of the Pythagorean Theorem
B c a C A b
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Ex 1. Verify a Right Triangle
C 16 12 B A 20 Solution
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Classifying Triangles
b B c A B c a C A b B c a A b C
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Ex 2. Acute Triangles Show that the triangle is an acute triangle. 5 4
Solution
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Ex 3. Obtuse Triangles Show that the triangle is an obtuse triangle.
12 8 15 Solution
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Ex 4. Classify Triangles Classify the triangles as acute, right, or obtuse. 5 6 8 Solution
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Ex 5. Classify Triangles Classify the triangle with the given side lengths as acute, right, or obtuse. a. 4, 6, 7 b. 12, 35, 37 Solution
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Practice Classify the triangle as acute, right or obtuse. Explain 7 1. 2. 3. 17 8 5 6 7 7 15 2 Use the side lengths to classify the triangle as acute, right or obtuse. 4. 7, 24, 24 5. 7, 24, 25
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