A triangle is a right triangle if the sum of the squares of the two legs is equal to the square of the hypotenuse.
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The Pythagorean Theorem is not a triangle. It's a statement that describes a relationship among the lengths of the sides in any right triangle.
Yes
any right triangle
the sides of a triangle on which the Pythagorean theorem can be applied is called Pythagorean triplet
A right angle triangle.