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The important process of proving s 1=s2+S3 by Pythagorean theorem in junior two mathematics.
Regular triangle area formula: S=a? * √ 3/4, where a is the side length.

The area formula of isosceles right triangle: S=a? /2=b? /4, A is right angle and B is hypotenuse.

Take a regular triangle as an example, because the side length is a 1? =a2? +a3? Multiply both sides by √3/4 to get S 1=S2+S3. Everything else is the same.