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Hypotenuse

5 in
Angle opposite side A (degrees)
36.87

An estimate for planning. Check local codes and ask a licensed pro before you build or buy.

Machinist Triangle Calculator

Machinists often know two sides of a right triangle and need the third side or an angle. Enter the two sides and this gives the hypotenuse and the angle opposite side A.

How it works

The hypotenuse is the square root of side A squared plus side B squared, which is the Pythagorean theorem. The angle opposite side A is the arctangent of side A divided by side B.

Sides can be entered in any length unit, and the hypotenuse is shown in the unit chosen. The angle is always in degrees.

Worked example

Sides of 3 in and 4 in make a hypotenuse of 5 in, with an angle of 36.87 degrees opposite side A.

Questions

What if I know the hypotenuse and one side?

This version takes the two legs. With the hypotenuse and one leg known, rearrange the same theorem to find the other leg.

Does this work for other triangles?

No. The formulas assume a 90 degree corner between the two sides, so use a different method for other triangles.

Why are angles in degrees?

Shop drawings and most measuring tools read angles in degrees, so the result uses the same scale.

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