Leg a (Base / Horizontal Run)Linear Distance (in, ft, yd, mm, cm, m)
The first flat side meeting the vertical upright at an exact 90-degree corner. In home renovations, deck framing, or shelving layout, this represents the level horizontal span (run) along the floor or ground.
Default: 3 ft
Leg b (Height / Vertical Rise)Linear Distance (in, ft, yd, mm, cm, m)
The vertical upright side perpendicular to Leg a. In staircase building, TV wall-mounting, or roof carpentry, this represents the plumb vertical rise perpendicular to the flat base.
Default: 4 ft
Hypotenuse c (Direct Diagonal Span)Linear Distance (in, ft, yd, mm, cm, m)
The longest straight-line distance spanning directly across from the 90-degree right angle. The hypotenuse must always measure longer than either individual leg (c > a and c > b), yet strictly less than their combined sum (c < a + b).
Default: 5 ft
Exact Simplified Radical RootExact Radical Surd (k√m)
The unrounded square root value expressed without decimals (such as 6√2 instead of 8.485). It factors out the largest perfect square divisor so students and precision woodworkers preserve absolute accuracy.
Default: 5 (Exact Integer)
Acute Pitch Angles (Alpha α & Beta β)Angular Measure (Degrees & Radians)
The two sharp interior angles that always add up to exactly 90 degrees (α + β = 90°). Crucial for setting miter saw bevel cuts, calculating roof rafter pitch, and verifying wheelchair ramp accessibility slopes.
Default: α = 36.87°, β = 53.13°
3D Space Diagonal (Box Clearance)Three-Dimensional Span (Length, Width, Height)
The direct corner-to-opposite-corner distance passing through an enclosed room, shipping box, or cargo trailer using d = √(x² + y² + z²). Dictates whether long rigid furniture, lumber, or display screens will fit inside.
Default: 46.86 in
