Proof of the Converse of the Pythagorean Theorem

The Pythagorean Theorem states that if is a triangle right angled at , then, . The converse of the Pythagorean Theorem states that if holds, then triangle is a right triangle right angled at . This means that in order to prove the converse of the Pythagorean Theorem, we need to prove that in the […]
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Video: The Man Behind the Proof of the Fermat’s Last Theorem

The Fermat’s Last Theorem was proposed by French mathematician Pierre de Fermat in 1637. ┬áIt was one of the most difficult problems in the history of mathematics. The Fermat’s Last Theorem is related to Pythagorean Theorem. Recall that the Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse […]
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The Proof of the Hypotenuse Leg Theorem

The Hypotenuse Leg Theorem states that if the hypotenuse and one leg of a triangle are congruent to the hypotenuse and leg of another triangle, then the two triangles are congruent. In the figure above, and are right triangles with right angles at and and with and . We are going to show that the […]
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