Right Triangle Calculator

GEOMETRY & SHOP MATH

Right triangle calculator finds the hypotenuse and angle from two known legs, a general-purpose geometry tool useful for chamfers, tapers, layout, and fixture setups on the shop floor.

Solve a right triangle from its two legs, the everyday shop math behind layout, angle blocks, and checking a part against a print dimensioned with offsets.

–
Hypotenuse (in)
–
Angle Opposite A (deg)

Hypotenuse = sqrt(A^2 + B^2). Angle opposite leg A = atan(A / B), measured from leg B.

How it works

Almost every layout problem that involves an offset, a diagonal, or an angled feature reduces to a right triangle. Knowing any two sides gives the third side and both remaining angles through the Pythagorean theorem and basic trig.

FAQ

What if I only have one side and an angle instead of two sides? This calculator is set up for the two-legs case. With a side and an angle, the same trig relationships still apply, just solve for the missing side with sine or cosine first.

Related Guides

CNC Calculators · Sine Bar Calculator · Bolt Circle Calculator

How it works

This is the same relationship, the Pythagorean theorem plus basic trigonometry, that underlies many shop calculations, from chamfer depth versus width to tapers and angled fixture setups. Any right-triangle problem where two of the three sides, or one side and one angle, are known can be solved with the same basic relationships.

FAQ

What shop tasks commonly use this calculation? Chamfer and taper layout, finding the diagonal of a rectangular part or fixture, checking angled cuts, and setting up sine bars or sine plates for precise angles all reduce to right-triangle geometry.

Related Guides

CNC Calculators · Chamfer Calculator · Sine Bar Calculator

Spotted an error or have a suggestion for this calculator? Let us know →
Scroll to Top

The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.