Pythagorean Theorem Calculator
Enter the lengths of two sides to calculate the third side of a right-angled triangle.
Steps for Calculation
- Input Values:
- Enter the lengths of two sides of the right-angled triangle:
- Side A: Length of one leg.
- Side B: Length of the other leg.
- Hypotenuse: Length of the hypotenuse.
- Leave the field you want to calculate blank.
- Enter the lengths of two sides of the right-angled triangle:
- Calculate:
- Click the Calculate button to compute the missing side.
- View Result:
- The calculated side length will be displayed below the button.
Detailed Description
- Pythagorean Theorem:
- The Pythagorean theorem states that in a right-angled triangle:Hypotenuse2=Side A2+Side B2Hypotenuse2=Side A2+Side B2
- This can be rearranged to solve for any side:
- Hypotenuse: Hypotenuse=Side A2+Side B2Hypotenuse=Side A2+Side B2
- Side A: Side A=Hypotenuse2−Side B2Side A=Hypotenuse2−Side B2
- Side B: Side B=Hypotenuse2−Side A2Side B=Hypotenuse2−Side A2
- Example Calculations:
- For Side A = 3 and Side B = 4:
- Hypotenuse = 32+42=532+42=5.
- For Side A = 5 and Hypotenuse = 13:
- Side B = 132−52=12132−52=12.
- For Side A = 3 and Side B = 4:
