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  • Essay / An Overview of the Pythagorean Theorem

    “In mathematics, the Pythagorean Theorem, also known as the Pythagorean Theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. » Stephanie J. Morris says: “This famous theorem is named after the Greek mathematician and philosopher Pythagoras. Pythagoras founded the Pythagorean school of mathematics in Cortona, a Greek port in southern Italy. He is credited with many contributions to mathematics, although some of these may actually have been the work of his students. »Say no to plagiarism. Get a tailor-made essay on “Why Violent Video Games Should Not Be Banned”? Get the original essayThe Pythagorean theorem says that the area of ​​a square on the hypotenuse is equal to the sum of the areas of the squares on the legs. If the leg lengths are A and B and the hypotenuse length is C, then a^2 +b^2=c2. There are many different proofs of this theorem. They are divided into four categories: those based on linear relationships: algebraic proofs, those based on the comparison of areas: geometric proofs, those based on the vector operation, those based on mass and speed: the proof dynamic, all polygons also make this theorem incorrect, be careful. First, use the law of cosines and plug in the values ​​of sides b, c and angle A. Second, solve for side A, third, use the angle value with the law of sines to find l angle B. Finally, use the sum of the angles with the two angles to find angle C. You can find a missing angle by looking at the small triangle that includes angle B, we now know that A=35 and, since the sum of the triangles is equal to 180 we can find angle B. Angle C and angle 95 are supplementary; Their total is 180. Now that we know that C = 85, we can find angle B since the three angles of the triangle add up to 180. Step: 1 Draw a right triangle, then read the problems to determine the length of the legs and l 'hypotenuse.Step:2 use the Pythagorean theorem (a^2+b^2=c) to write an equation to solve. Remember that A and B are the legs and C is the hypotenuse. Step: 3 Simplify the equation by distributing and combining like terms if necessary. Step: 4 solve the equation. If the equation contains x^2, set the equation equal to zero and solve the equation by factoring. If the equation does not contain x^2, solve the equation by getting the variables on one side and the numbers on the other. Step: 5, answer the question asked in the original question and make sure the answer makes sense. forget to include the units in your answer. If the square of the length of the longest side of the triangle is equal to the sum of the squares of the forces of the other 2 sides, then the triangle is a right triangle. The variables represent the three sides of a right triangle. Squares A and B are the legs that make up the triangle and square C is the hypotenuse. Keep in mind: this is just a sample. Get a personalized article from our expert writers now. Get a Custom Essay “Works Cited: Adelman, J. (1986). “Iago’s Alter Ego: the race as a projection in Othello.” Shakespeare Quarterly, 37(3), 343-368. Bristow, J. (2018). “Race and racism in Othello”. In J. Bristow (Ed.), Shakespeare and Race (pp. 59-76). Cambridge University Press. Bullough, G. (1993). Shakespeare's narrative and dramatic sources: early comedies, poems, Romeo and Juliet. Routledge. Davenant, W. (1670). The tragedy of Othello, the Moor of Venice. Greenblatt, S. (2005). Will in the World: How Shakespeare Became Shakespeare. WW Norton & Company. Jackson, R., 55(4), 406-426.