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.
Triangle Labeling 9A711D
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