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This essential trains for: SAT-I, SAT-II, GMAT, AMC-8.

A right angle triangle is obtained by cutting a rectangle in two congruent triangular halves:

Elements of a right angle triangle:

The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.

The reciprocal of the Pythagorean theorem is true: if three lengths satisfy the Pythagorean theorem, then the triangle with such lengths of sides is a right angle triangle.

If the equation is satisfied by a set of integer numbers, they are said to be 'Pythagorean triples'.

It is useful to memorize a few such triples: