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Pythagoras is most famous for the Pythagorean Theorem, which shows the relationship between the length of the two legs of a right triangle and the length of its hypotenuse. He is also famous for other aspects of his mathematical and philosophical insights. He was a mystic as well as a mathematician


The Pythagorean Theorem can be used in any real life scenario that involves a right triangle having two sides with known lengths. In a scenario where a certain section of a wall needs to be painted, the Pythagorean Theorem can be used to calculate the length of the ladder needed if the height of the


The base angle theorem says if two sides of a triangle are congruent, then the angles opposite those sides must also be congruent. The converse is also true. If two angles of a triangle are congruent, then the opposite sides must be also be congruent.


Examples of the squeeze theorem, g(x) ? f(x) ? h(x), show that if f(x) is always greater than g(x) and if f(x) is always less than h(x), then when g(x) is equal to h(x), f(x) must also be equal. Since f(x) always squeezes between g(x) and h(x), it must be equal when g(x) and h(x) are equal.


Architects use the Pythagorean theorem, which is expressed by the equation: a2 + b2 = c2, in designing and computing the measurements of building structures and bridges. One example involves roof design. A gable roof is made of two right triangles, where the base of one right triangle is called the


A real world example of the pythagorean theorem is used when determining the diagonal viewing size of a television. The length and height of the screen are given and the diagonal must be determined to explain the viewing size of the television for the customer.


A linear pair of angles is always supplementary. This means that the sum of the angles of a linear pair is always 180 degrees. This is called the linear pair theorem.


The midpoint theorem is a theory used in coordinate geometry that states that the midpoint of a line segment is the average of its endpoints. Solving an equation using this method requires that both the x and y coordinates are known. This theorem can also be used in algebra and calculus.


The Thomas theorem of sociology states "If men define situations as real, they are real in their consequences," according to the Blackwell Encyclopedia of Sociology Online. The objective reality of a situation doesn't matter as much as someone's perception of what someone believes is happening. Soci


The exterior angle theorem states that an angle exterior to a triangle equals the sum of the two angles not adjacent to it. The theorem’s basis derives from the fact that the sum of all the interior angles in a triangle equals 180 degrees.