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Step 1: Understand the Theorem
The Pythagorean Theorem states that in a right-angled 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. These two sides are often called the legs of the triangle.
Step 2: Identify the Sides
In a right-angled triangle, the hypotenuse (c) is always the longest side and is opposite the 90∘ angle. The other two sides, a and b, are the legs that form the right angle.
Step 3: Apply the Theorem
To apply the theorem, you need to know the lengths of at least two sides of a right-angled triangle. You can then use the formula to find the length of the third side. For example, if a=3 and b=4, then 32+42=c2, which means 9+16=c2, so 25=c2, and c=5.