dataset/samples/scientific/geometry_example.json

{
  "id": "geo_triangle_001",
  "category": "scientific",
  "subcategory": "geometry",
  "question": "In triangle ABC, angle A = 60°, angle B = 45°. If side AB = 10 units, find the length of side BC.",
  "input_images": [],
  "reasoning_steps": [
    {
      "step": 1,
      "type": "text",
      "content": "First, find angle C using the triangle angle sum property: C = 180° - 60° - 45° = 75°",
      "intermediate_result": "angle C = 75°"
    },
    {
      "step": 2,
      "type": "interleaved",
      "content": "Draw the triangle with labeled angles and the known side AB.",
      "image_path": "images/geo_triangle_001_step2.png",
      "intermediate_result": "Visual representation created"
    },
    {
      "step": 3,
      "type": "text",
      "content": "Apply the Law of Sines: BC/sin(A) = AB/sin(C). Therefore BC = AB × sin(A)/sin(C) = 10 × sin(60°)/sin(75°)",
      "intermediate_result": "BC = 10 × 0.866/0.966"
    },
    {
      "step": 4,
      "type": "text",
      "content": "Calculate: BC = 10 × 0.866/0.966 ≈ 8.97 units",
      "intermediate_result": "BC ≈ 8.97 units"
    }
  ],
  "answer": "BC ≈ 8.97 units",
  "metadata": {
    "difficulty": "medium",
    "source": "synthetic",
    "tags": ["law-of-sines", "triangle", "trigonometry"]
  }
}