The Pythagorean Theorem can be used to solve numerous real world problems involving right-angled triangles where the lengths of at least two sides are known. One of the areas the theorem can be applied is in construction by painters. Since painters use ladders to reach high walls, the Pythagorean theorem would assist them in determining how tall their ladder should be in order for its base to be safely placed away from the wall such that it is stable and does not tip over. The walls are perpendicular to the ground, and the ladder is a hypotenuse, and this ...
Essays on Pythagorean Theorem
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Pythagorean triples have been first mentioned in the second millennium BC by Babylonians. The triple consists of three positive integers a, b and c, which are related to each other by the Pythagorean theorem a2 + b2 = c2. Thus, they represent the length of the three sides of a right Pythagorean triangle. Primitive Pythagorean triples are the triples, which are co-prime, therefore the only common positive divisor is 1.
One of the methods for generating Pythagorean triples was proposed by Leonardo of Pisa. His technique uses consequent odd integers, such as 1 and 3, then add them together in order to generate the ...
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