Instantly compute the hypotenuse and sides of right-angled triangles online.
Area (A) • Perimeter (P)
Hypotenuse (c)
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Step 01
Input the length of the first leg (a).
Step 02
Input the length of the second leg (b).
Step 03
Instantly get the length of hypotenuse (c) and total area.
Step 04
Expand the details to review the mathematical formula breakdown.
| Property | Formula | Description |
|---|---|---|
| Hypotenuse (c) | c = √(a² + b²) | Longest side opposite the right angle. |
| Leg (a) | a = √(c² - b²) | Calculate a leg from hypotenuse and the other leg. |
| Area (A) | A = (a · b) / 2 | Area of the right-angled triangle. |
The Pythagorean theorem works exclusively for triangles that contain exactly one 90-degree right angle.
Ensure that both leg measurements (a and b) are entered using the exact same unit, such as centimeters or inches.
Builders use this ancient trick on-site: 3 units one way, 4 units the other—if the diagonal spans 5 units, your corner is perfectly square.
Due to the laws of geometry, the calculated hypotenuse (c) must always be longer than either of the individual legs.
Great for woodworking, stair framing, or laying diagonal tile layouts to minimize material waste.
Use our online calculator as a fast check tool for homework assignments, landscaping plans, or architectural blueprints.
Legal Disclaimer: Calculators serve as educational reference guides.
In any right-angled triangle, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides (a² + b² = c²).
Take the square root of the sum of the squared legs: c = √(a² + b²).
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