Find hypotenuse, area, and perimeter from two legs
Result
Hypotenuse
Step-by-Step Derivation
Right Triangle Formula
c = √(a² + b²), A = ab/2, P = a + b + c
A right triangle has two perpendicular legs and one hypotenuse. The Pythagorean theorem finds the hypotenuse, while area uses half the product of the legs.
⚠Enter positive leg lengths. This calculator assumes the two inputs are perpendicular legs, not the hypotenuse.
How Right Triangle Calculations Work
The two legs form a right angle, so their squares add to the square of the hypotenuse. Once c is known, area and perimeter follow directly.
Legs
The inputs are the perpendicular sides.
Hypotenuse
The longest side is opposite the right angle.
Area
Area is half the rectangle made by the legs.
Perimeter
Add all three side lengths.
💡 Example: For legs 3 and 4, c=5, area=6, perimeter=12.
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