Subjects trigonometry

Triangle Labeling

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Triangle Labeling


1. For the triangle with the hypotenuse labeled "hyp" (longest side), the side opposite the acute angle is labeled "opp" and the side adjacent to the acute angle is labeled "adj". 2. In a right-angled triangle, the hypotenuse is always the longest side opposite the right angle. 3. The side opposite the acute angle is labeled Opposite (O). 4. The side adjacent to the acute angle (but not the hypotenuse) is labeled Adjacent (A). 5. The hypotenuse is labeled Hypotenuse (H). 6. Applying these principles to each triangle: - Triangle 1: O = opp, A = adj, H = hyp - Triangle 2: O is the side opposite the known acute angle, A is adjacent side, H is longest side opposite right angle - Triangle 3: Same as above with correct placement relative to acute angle - Triangle 4: Label sides around the right angle: Hypotenuse opposite right angle, adjacent and opposite according to acute angle - Triangle 5 to 12: Follow the same method for each triangle, labeling sides as O, A, H respective to their acute and right angles. This ensures proper labeling of Opposite, Adjacent, and Hypotenuse for all twelve triangles. Final answer: Each triangle's longest side is H, side opposite acute angle is O, side adjacent acute angle (but not hypotenuse) is A.