Explain the Pythagorean theorem with a simple example
The short version: the Pythagorean theorem refers to the rule that in a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. A quick example makes it concrete — With legs 3 and 4, the hypotenuse is √(9 + 16) = √25 = 5.
How to approach it step by step
Once one example makes sense, the method generalises: identify the right angle, label the hypotenuse, then apply a² + b² = c² and solve for the unknown side. In a visual interactive session the example is built on screen piece by piece, so you see which quantity changes at each step instead of only reading a final answer. Ask for a harder variant and the explanation adapts on the spot.
Worked example
With legs 3 and 4, the hypotenuse is √(9 + 16) = √25 = 5.
The mistake most learners make
Treating any long side as the hypotenuse instead of the side opposite the right angle.
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