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Pro²

Pro² · https://pro2.tools/en/geometry/right-triangle-calculator/
Instructional guide. Examples are not a calculation for your project.

Right triangle calculator for iPhone

Solve a right triangle from two known values, including at least one side, and read its sides, angles and slope.

In the app · English

Tools → Right triangle

Download on the App Store

For iPhone · iOS 18 or later

Free to download.

See the worked example
Rise, run and diagonalRunRiseDiagonal
Run is the horizontal base and rise is the vertical leg; the diagonal is the hypotenuse. Angle B is at the left end of the base, angle C at the upper corner. Example lengths are in metres, angles in degrees.Illustration; not to scale.

Measurements and result

For a right-angle layout, brace geometry or slope with a known horizontal and vertical relationship. The 90° corner is an assumption of this tool.

Two known quantities
Choose two different values: base, rise, hypotenuse, angle B or angle C. At least one must be a side.
Angle reference
B is the angle between base and hypotenuse; C is the other acute angle.

Choose the right setup

Supported combinations include two sides, or one side and an acute angle. Two angles alone cannot determine size. The hypotenuse must be longer than either leg.

Read the result

  • Base, rise, hypotenuse, both acute angles and rise/run slope percentage.

A worked example

Base and rise are the two selected inputs.

Inputs and results
QuantityValue
Base; rise4 m; 3 m
Hypotenuse5 m
Angle B; angle C36.870°; 53.130°
Slope75 %

How the numbers fit together

Hypotenuse = √(base² + rise²). B = atan(rise/base); C = 90° − B. Slope = 100 × rise/base. The three sides form the familiar 3–4–5 relationship.

Units, allowances and limits

Use metric or imperial lengths consistently and keep extra precision until the final display. Rounded diagram labels are not a measuring tolerance.

This is not a general triangle solver. Non-right triangles, bevel allowances, connection details and material thickness are outside the calculation.

On the job

Why can’t two angles give a length?

They set shape but not scale. Many differently sized triangles share the same angles.

Are percent and degrees interchangeable?

No. Percent is 100 times rise/run; degrees come from its arctangent.

Why can’t two angles give a length?
They set shape but not scale. Many differently sized triangles share the same angles.
Are percent and degrees interchangeable?
No. Percent is 100 times rise/run; degrees come from its arctangent.
Back to the category

Check your dimensions and layout.

Work with your own measurements for geometry, spacing and levels in Pro² for iPhone.

For iPhone · iOS 18 or later