c=13, b=12
- Input
- c=13, b=12
- Expected output
- a=5
Triple (5,12,13).
find leg right triangle
Find a Leg of a Right Triangle
From a²+b²=c², one leg is isolated: a = √(c²−b²). The hypotenuse c must be greater than leg b.
Isolating the leg
- Given c=5 and b=4: a² = 5²−4² = 25−16 = 9 → a = 3.
Examples
Safe use
- Input
- context + tool result
- Expected output
- interpreted with limits and next steps
Use the result as technical or educational support, keeping the tool limits explicit in the workflow.
Full tool FAQ
In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs: c² = a² + b². Attributed to Greek mathematician Pythagoras (~570–495 BC).
Frequently asked questions
Why must c > b?
If c ≤ b, a² would be ≤ 0, impossible in the reals. The hypotenuse is always the largest side.
Does this page replace official or professional review?
No. It helps explain the scenario and use the tool more safely, but real decisions should consider official sources, full context and qualified guidance when needed.