Free · Algebra and geometric relations

Right Triangle by Trigonometric Data

Relate right-triangle sides, angles and area through three input modes.

Calculator inputs

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Enter the known values in the units shown. Results update as you type.
Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
Use the worked example to check the method. Reset restores the starting fields.

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

For the worked example, Side length c = 5.

c²=a²+b²; A=ab/2; sin β=b/c

Enter these known values and leave the other values blank.

Two perpendicular legs determine the hypotenuse. Acute angles are strictly between zero and 90 degrees.
In area mode, the hypotenuse inverse returns the larger leg branch.

Choose the relevant mode and enter independent known quantities. Leave a missing value empty where the control permits an inverse.

The result follows the stated mathematical model. All dimensions must use consistent units; available unit selectors handle conversions.

The international acre is exactly 43560 square international feet; Bookify replaces the rounded captured area factor.