Take the three sides of RT △ ABC as the edge, make three general triangles outward, and their areas are expressed by S1, S2, S3 respectively, to determine the relationship between S1, S2, S3

Take the three sides of RT △ ABC as the edge, make three general triangles outward, and their areas are expressed by S1, S2, S3 respectively, to determine the relationship between S1, S2, S3

The conditions are not right
Let △ ABC, ∠ C = 90 °,
If three general triangles are made outward, there is no relationship between their areas
If you make a square outward,
S1 is a square with hypotenuse ab,
S2 and S3 are squares with right angle sides AC and BC respectively,
There is S1 = S2 + S3