Pythagorean Relationship Essay

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Question 3 - Pythagorean Relationship by Justine Chan, Yolanda Shi, Audrey Lam and Chloe Chan


What is the Pythagorean Theorem?
The Pythagorean Theorem is a special theory invented by the mathematician Pythagoras which states a relationship between the three sides of a right-angled triangle, or an angle with one intersecting point of two lines being 90 degrees. The Pythagorean Theorem states that the square of the longest side (mathematically referred to as the “hypotenuse”) is equivalent to the sum of the squares of the other two sides, which, in a diagram, are usually named A and B. The relationship states that the ratio of the lengths of the sides A, B, and C is 3:4:5, also known as the golden ratio.
In Figure 1, a right angle triangle has been drawn. In a lot of drawings, a right-angled triangle being used to prove the Pythagorean Theorem has its sides extended into squares, so as to more easily compare the ratio.
The ratio of the lengths of A:B:C is 3:4:5. For example, if length A were 3 cm, then the length of B would be 4 cm, and the length of C 5 cm, because the Pythagorean relationship states that there
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We also know that the Egyptians unwittingly used the not-yet-invented Pythagorean theorem to structure their pyramids. The Egyptians used rope and formed/knotted twelve sections, all of which was put together and formed a right-angled triangle with a 3:4:5 ratio in length. This was then used to “model” or simulate the real pyramid, because the pyramid could be cut vertically into four right-angled triangles that fit Pythagoras’s

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