Pythagorean Theorem for 3-4 Triangle
Calculate the hypotenuse of a right triangle.
Calculate the hypotenuse of a right triangle. Enter your Side A, Side B to get an instant hypotenuse. Formula: sqrt(side_a * side_a + side_b * side_b).
Hypotenuse
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How It Works
How It Works
This calculator finds the length of the third side of a right triangle. When you know the lengths of Side A and Side B (the two shorter sides that form the right angle), it uses the Pythagorean Theorem to calculate the longest side, called the hypotenuse.
- You enter the lengths of Side A and Side B.
- Each side is multiplied by itself (squared).
- The two squared values are added together.
- The calculator finds the square root of that total.
- The result is the length of the hypotenuse.
Understanding the Results
The result shows the length of the hypotenuse, which is the side opposite the right angle. This value helps you understand the full size of the triangle when only the two shorter sides are known.
- The result is always longer than Side A and Side B.
- It represents the longest side of the triangle.
- Make sure your input values use the same unit (e.g., both in meters or feet).
- If either side increases, the hypotenuse will also increase.
Frequently Asked Questions
What does the Pythagorean Theorem Calculator calculate?
This calculator finds the length of the hypotenuse of a right triangle using the Pythagorean Theorem. When you enter the lengths of Side A and Side B (the two legs of the triangle), it calculates the square root of (A² + B²). The result is the length of the side opposite the right angle.
When should I use this calculator?
Use this calculator when you know the lengths of the two perpendicular sides of a right triangle and need to find the third side (the hypotenuse). It’s commonly used in geometry, construction, engineering, and physics problems involving right triangles.
Do Side A and Side B need to be specific sides of the triangle?
Yes, Side A and Side B must be the two sides that form the right angle (the legs of the triangle). Do not enter the hypotenuse as one of these values. The calculator assumes both inputs are perpendicular to each other.
Can I use decimals or negative numbers?
You can enter whole numbers or decimals for Side A and Side B. However, lengths must be positive values since side lengths cannot be negative in geometry. If you enter a negative number, the result may not represent a valid triangle.
What units should I use for Side A and Side B?
You can use any unit of measurement (such as inches, feet, meters, or centimeters), as long as both sides use the same unit. The result will be in the same unit you entered. For example, if you enter meters, the hypotenuse will also be in meters.
Can this calculator find a missing leg instead of the hypotenuse?
No, this version of the calculator only finds the hypotenuse when both legs are known. If you need to find a missing leg, you would need to rearrange the Pythagorean formula to subtract the square of the known side from the square of the hypotenuse.
Disclaimer
This calculator provides estimates for informational purposes only. It is not professional advice. Verify results with a qualified professional. Disclaimer.