Topic > 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 states: “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 them may actually have been the work of his student." Say no to plagiarism. Get a tailor-made essay on "Why Violent Video Games Shouldn't Be Banned"? Get an 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 lengths of the legs are A and B and the length of the hypotenuse 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 relations: algebraic proofs, Those based on the comparison of areas: geometric proofs, Those based on the vector operation, Those based on mass and velocity: the dynamic proof, also all polygons make this theorem wrong, be careful. First, use the law of cosines and enter the values ​​for sides b, c and angle A. second solve for side A, third use the angle value with the law of sines to find 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. Now we know that A=35 and, since the sum of the triangles equals 180 we can find angle B. Angle C and angle 95 are supplementary; Their sum gives 180. Now we know that C=85 we can find the angle B since the sum of the three angles in the triangle gives 180. Step: 1 Draw a right triangle and then read the problems to determine the length of the legs and the 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 as needed. 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, don't forget to include the units in the 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. Please note: this is just an example. Get a custom article from our expert writers now. Get a Custom Essay "Works Cited: Adelman, J. ( 1986). "Iago's Alter Ego: Running as 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). and plays by Shakespeare: early plays, poems, Romeo and Juliet.Davenant, W. (1670), the Moor of Venice Shakespeare. W. W. Norton & Company. Jackson, R. (1989). "Othello and the English National Myth." Shakespeare Quarterly, 425-445. "Ania Loomba: Gender. race, Renaissance drama." Ariel: A review of international English literature, 26(4),, 55(4), 406-426.