Subjects geometry

Triangle Labeling 9A711D

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1. The problem asks which triangle is correctly labeled with respect to the angle of 64° in a right triangle. 2. In a right triangle, the hypotenuse is always opposite the right angle. 3. The side adjacent (adj) to the 64° angle is the side that forms the angle with the hypotenuse. 4. The side opposite (opp) to the 64° angle is the side across from it, not touching the angle. 5. Let's analyze each triangle: - Triangle 1: hyp opposite right angle (correct), adj adjacent to 64° (correct), opp opposite 64° (correct). - Triangle 2: hyp opposite right angle (correct), opp adjacent to 64° (incorrect), adj opposite 64° (incorrect). - Triangle 3: adj opposite right angle (incorrect), opp adjacent to 64° (incorrect), hyp opposite 64° (incorrect). - Triangle 4: adj opposite right angle (incorrect), hyp adjacent to 64° (incorrect), opp opposite 64° (correct). 6. Only Triangle 1 has all sides correctly labeled according to the definitions. Final answer: Triangle 1 is correctly labeled.