justyourcalculatorRight Triangle Calculator
Enter any two values and get the whole right triangle.
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Right Triangle Calculator
Solve a right triangle from any two values
Fill in exactly two boxes (at least one a length).
Sides a, b, c
3, 4, 5
- Leg a
- 3
- Leg b
- 4
- Hypotenuse c
- 5
- Angle α0.64350111 rad
- 36.86989765°
- Angle β0.92729522 rad
- 53.13010235°
- Angle γ
- 90°
- Area
- 6
- Perimeter
- 12
- Height to hypotenuse
- 2.4
- Inradius
- 1
- Circumradius
- 2.5
How it was calculated
- c = √(a² + b²) = 5
- α = arctan(a / b) = 36.86989765°, β = 90° - α = 53.13010235°
- Area = a × b / 2 = 6
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How the right triangle calculator works
A right triangle has one 90° angle, two legs (a and b) and a hypotenuse (c). Any two independent values fix the whole triangle: two sides, a side and an angle, or combinations with the area, perimeter or the height to the hypotenuse.
The tools are the Pythagorean theorem (a² + b² = c²), the trig ratios (sin α = a / c, cos α = b / c, tan α = a / b), the area a × b / 2 and the height h = a × b / c. Two angles alone only fix the shape, not the size, so at least one length is needed.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
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