Compute missing sides, acute angles, area, and perimeter quickly today. Review steps with precise clarity. Plot triangle dimensions with exports, formulas, and dependable examples.
| Case | Known Inputs | Computed Hypotenuse | Area | Perimeter | Angle A |
|---|---|---|---|---|---|
| Classic 3-4-5 | a = 3, b = 4 | 5 | 6 | 12 | 36.87° |
| Isosceles right triangle | a = 5, b = 5 | 7.0711 | 12.5 | 17.0711 | 45° |
| Angle and hypotenuse | A = 30°, c = 10 | 10 | 21.6506 | 23.6603 | 30° |
| Angle and adjacent side | A = 40°, b = 7 | 9.1379 | 20.5653 | 22.0125 | 40° |
Pythagorean theorem: c² = a² + b², where c is the hypotenuse.
Angle relations: A + B = 90° because the third angle is 90°.
Basic trigonometry: sin(A) = a / c, cos(A) = b / c, tan(A) = a / b.
Area: Area = (a × b) / 2.
Perimeter: Perimeter = a + b + c.
Altitude to hypotenuse: h = (a × b) / c.
Inradius: r = (a + b - c) / 2.
Circumradius: R = c / 2.
Projections on the hypotenuse: p = a² / c and q = b² / c.
A right triangle has one angle equal to 90 degrees. The side opposite that angle is the hypotenuse. The remaining two sides are called legs.
The hypotenuse is always the longest side. It sits opposite the right angle. In this calculator, it is labeled c.
One acute angle alone is not enough. You also need at least one side length. This calculator supports angle-plus-side combinations for quick solving.
A right triangle already uses one 90 degree angle. The other two angles must share the remaining 90 degrees, so each must be less than 90 degrees.
It is the perpendicular segment drawn from the right angle to the hypotenuse. This value helps with area and projection relationships.
They show how each leg projects onto the hypotenuse. These segments are useful in geometric proofs, similarity work, and engineering layouts.
Yes. The CSV and PDF buttons use the current solved result shown above the form. Recalculate first if you change any input values.
Yes. Enter any unit label you prefer, such as mm, cm, m, in, or ft. The calculator keeps that label throughout the results.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.