Pythagorean Theorem Calculator
Solve for the sides of a right triangle using the Pythagorean theorem.
Understanding Pythagorean Theorem
The Pythagorean Theorem is a fundamental concept in geometry that describes the relationship between the three sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This relationship can be expressed as the equation:
Where:
- a and b are the lengths of the two shorter sides (legs) of the right triangle.
- c is the length of the hypotenuse, the longest side opposite the right angle.
This calculator helps you find the length of any side of a right triangle if you know the lengths of the other two sides. Simply enter the known side lengths, and the calculator will determine the missing side using the Pythagorean Theorem.
Result
Triangle Visualization
Pythagorean Theorem: In Layman's Terms
Imagine you have a right-angled triangle, like a perfectly square corner of a room. The longest side, opposite the right angle, is called the hypotenuse (let's call it 'c'). The other two sides are called legs (let's call them 'a' and 'b').
The Pythagorean Theorem is a simple rule that connects these sides: If you square the lengths of the two legs (a*a and b*b) and add them together, you'll get exactly the same number as when you square the length of the hypotenuse (c*c). So, it's like saying: a² + b² = c².
This tool helps you find the length of any side if you know the other two. Just type in the lengths you know, and it will calculate the missing one!