{ "id": "25-sketch-triangle", "name": "Sketch solver: triangle with lengths and angle", "description": "Triangle drawn roughly; l1 horizontal from origin, |l1|=50, |l2|=45, angle(l1,l3)=60 deg. Solved sketch extruded 5 mm.", "exercises": [ "sketch_only", "sketch_constraints", "angle_dim" ], "units": { "length": "mm", "angle": "deg", "area": "mm2", "volume": "mm3" }, "conventions": { "world": "right-handed; Z up. XY/XZ/YZ are the origin planes.", "sketch_frame": "sketch-local 2D coords; world = plane.origin + x*plane.x_dir + y*plane.y_dir (origin in mm). Profile 'loops' list sketch entity ids.", "point_refs": "'.start' / '.end' / '.center' reuse (share) that existing sketch point; 'at' is its position when referenced.", "extrude_direction": "positive = along sketch plane normal unless stated", "selections": "selected faces/edges carry 'point': a world-space point on the face / the edge's parametric midpoint; pick the nearest face/edge to it." }, "parameters": [], "features": [ { "op": "sketch", "name": "Triangle", "plane": { "ref": "XY", "origin": [ 0.0, 0.0, 0.0 ], "x_dir": [ 1.0, 0.0, 0.0 ], "y_dir": [ 0.0, 1.0, 0.0 ], "normal": [ 0.0, 0.0, 1.0 ] }, "entities": [ { "type": "line", "start": { "at": [ 2, 1 ] }, "end": { "at": [ 45, 3 ] }, "id": "l1" }, { "type": "line", "start": { "ref": "l1.end", "at": [ 45.0, 3.0 ] }, "end": { "at": [ 22, 35 ] }, "id": "l2" }, { "type": "line", "start": { "ref": "l2.end", "at": [ 22.0, 35.0 ] }, "end": { "ref": "l1.start", "at": [ 2.0, 1.0 ] }, "id": "l3" } ], "constraints": [ { "type": "coincident", "refs": [ "l1.start", "origin" ] }, { "type": "horizontal", "refs": [ "l1" ] } ], "dimensions": [ { "type": "distance", "refs": [ "l1.start", "l1.end" ], "value": 50, "unit": "mm", "orientation": "aligned" }, { "type": "distance", "refs": [ "l2.start", "l2.end" ], "value": 45, "unit": "mm", "orientation": "aligned" }, { "type": "angle", "refs": [ "l1", "l3" ], "value": 60, "unit": "deg", "text_at": [ 8, 4 ] } ] }, { "op": "extrude", "name": "Extrude1", "operation": "new", "profiles": [ { "sketch": "Triangle", "loops": [ { "outer": true, "curves": [ "l1", "l2", "l3" ] } ] } ], "extent": { "type": "distance", "distance": 5, "direction": "positive" }, "result_bodies": [ "Triangle" ] } ] }