7.2 Use the Converse of the Pythagorean Theorem

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Presentation transcript:

7.2 Use the Converse of the Pythagorean Theorem Hubarth Geometry

The Converse of the Pythagorean Theorem B c a C A b

Ex 1. Verify a Right Triangle C 16 12 B A 20 Solution

Classifying Triangles b B c A B c a C A b B c a A b C

Ex 2. Acute Triangles Show that the triangle is an acute triangle. 5 4 Solution

Ex 3. Obtuse Triangles Show that the triangle is an obtuse triangle. 12 8 15 Solution

Ex 4. Classify Triangles Classify the triangles as acute, right, or obtuse. 5 6 8 Solution

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

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