The square on the hypotenuse is equal to the sum of the squares on the other two sides.
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Any two angles of a triangle determine the third angle. As a result, the side angle angle theorem is equivalent to the angle side angle theorem.
Using Pythagoras' theorem: a2+b2 = c2 whereas a and b are the sides of the triangle and c is its hypotenuse
A straight angle is an angle of 180 degrees
The Pythagorean theorem is actually the law of cos, where the angle is 90.
It is no more nor less important than any other theorem for congruence.