[simonebortolin]

Stacked on #41. This is the last page of the math tools (#39–#41): it adds a solver of triangles.

What it does

You give three of a, b, c, α, β and γ, at least one of them a side. The page finds:

• the other sides and angles;
• the area, the perimeter, and the radii of the circumscribed and inscribed circles;
• the laws it used, written in UnicodeMath and drawn by a MathView;
• a drawing of the triangle to scale.

It handles every case:

Case	Values given
SSS	three sides; the triangle inequality is checked
SAS	two sides and the angle between them
SSA	two sides and an angle not between them; it gives two triangles, one (including the right-angle limit), or none
ASA, AAS	two angles and a side

When there is no triangle, the page says why: three angles alone, the wrong number of values, angles of 180° or more, a side too long, or text that is not a number. The example buttons fill in each case.

Code

• Triangles.cs is the model, with no user interface.
• TrianglePage.cs is the page. It is wired in as the "Triangles" tab.

Tests

• TrianglesTests:
  • every case;
  • the ambiguous case with 2, 1 (one of them the right-angle limit) or 0 triangles;
  • the errors;
  • for three triangles, every choice of three values (at least one a side) gives the triangle back, across all five cases;
  • the laws and values written as UnicodeMath parse with no merror and round-trip.
• The window test TrianglesSolve covers the example, the ambiguous case and a value that is not a number.
• Local results: 248/248 on net10.0, 123/123 on net8.0.

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Generated by Claude Code

[github-actions]

Pre-release 1.1.0-pr.42.112 is ready: https://github.com/simonebortolin/SharpEquations/releases/tag/pr-42-112-1

NuGet package of 96d6d7f. Updated on every push, deleted when this PR is closed.