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All models

Geometry primitive

Right-triangle frame

abc

Inputs

One perpendicular leg of the displayed right triangle.
The second perpendicular leg of the displayed triangle.

Results

Hypotenusec

500

Triangle areaA

60,000

Angle from horizontalα

53.13

Other acute angleβ

36.87

c = √(a² + b²); A = ab / 2; α = tan⁻¹(b/a)

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Nearby: Section geometry · 3D coordinate span · Cylinder geometry · Circular arc & segment

Method

Formula, when it applies, and when it does not

Resolve hypotenuse, area, and acute angles from two perpendicular legs in a clearly diagrammed triangle.

c = √(a² + b²); A = ab / 2; α = tan⁻¹(b/a)

When

  • Two perpendicular legs
  • Euclidean plane geometry
  • Positive side lengths

Don’t

  • This uses a flat Euclidean right triangle. It does not infer dimensions from a drawing, field measurement, tolerance, or a non-perpendicular geometry.

Elementary geometry — standard results