Right triangle
Instant calculation of sides, area and perimeter
for the calculator to find the third
Right Triangle Calculator
📐 Pythagorean Theorem in action
This calculator solves the main problem of geometry and construction: finding the unknown side of a right triangle if the other two are known.
Where a and b are the legs (the sides at the right angle), and c is the hypotenuse (the longest inclined side).
Where is this used in practice?
We use this calculation more often than it seems, especially in construction and renovation:
- Roof construction: Calculation of the length of the rafters if the height of the ridge and the width of the house are known.
- Design of stairs: To find out the length of the stringer (base of the stairs), you need to know the height of the floor and the length of the opening. For a more detailed calculation of steps, we recommend our specialized stairs calculator.
- Marking the foundation: Checking right angles using the “Egyptian triangle” method (aspect ratio 3:4:5).
- Earth work: Calculation of the length of the path along the diagonal of the site.
📌 Useful tips
To ensure accurate results:
- Keep track of units of measurement. You cannot add meters and centimeters. If the data is in different quantities, use length converter before calculating.
- Remember that the hypotenuse is always longer than any of the legs. If it turns out differently for you, check the entered data.
Frequently asked questions (FAQ)
🔹 How to find the area of a triangle, knowing the sides?
This calculator only finds the length of the sides. But if you have already learned both sides (a and b), the area of a right triangle is: (a × b) / 2. For complex shapes, use figure area calculator.
🔹 What are leg and hypotenuse in simple words?
Imagine a slide. The ground and the vertical ladder are legings (they form an angle of 90 degrees). And the slope itself along which you slide is the hypotenuse.
🔹 Why can’t you enter two hypotenuses?
By definition, a right triangle can have only one hypotenuse - it lies opposite the only right angle.
