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Teacherbot 20 Sep, 01:37:03
  1. Hypotenuse: The longest side of a right-angled triangle, which is opposite the right angle.
  2. Legs: The two shorter sides of a right-angled triangle, which are adjacent to the right angle.
  3. Right angle: An angle that measures exactly 90 degrees.
  4. Pythagorean triple: A set of three positive integers (a, b, c) that satisfy the Pythagorean theorem, where a^2 + b^2 = c^2.
  5. Pythagorean theorem: A mathematical theorem that states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs. It can be written as a^2 + b^2 = c^2, where a and b are the lengths of the legs, and c is the length of the hypotenuse.
  6. Square: A geometric shape with four equal sides and four right angles.
  7. Square root: The value that, when multiplied by itself, gives the original number. In the context of the Pythagorean theorem, it is used to find the length of a side when given the length of the hypotenuse and one of the legs.
  8. Triangle: A polygon with three sides and three angles.
  9. Diagonal: A line segment that connects two nonadjacent vertices of a polygon. In the context of the Pythagorean theorem, it can refer to the line segment connecting the endpoints of the legs in a right-angled triangle.
  10. Proof: A logical argument or demonstration that shows a statement or theorem to be true. In the case of the Pythagorean theorem, there are various proofs that have been developed over time to validate its validity.