There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the question, calculations, and the solution.© BrainMass Inc. brainmass.com October 16, 2018, 9:25 pm ad1c9bdddf
(a) Proof of Pythagoras Theorem by the Area Method:
Statement: In a right triangle, the square on the longest side (hypotenuse) is equal to the sum of the squares on the other two sides.
Given: A right triangle ABC, with hypotenuse length c and the other two legs measuring a ...
One of the many ways of proving the Pythagorean Theorem is presented. Also included is a real-world application problem.
Problems with Quadratic Reciprocity & Pythagorean Triangles
2. If p>3, show that p divides the sum of its quadratic residues that are also least residues.
(see attached file for diagram)
4. Here is a quadrilateral, not a parallelogram, with integer sides and integer area:
(a) What is its area?
(b) Such quadrilaterals are not common; can you find another?
(c) Could you find 1,000,000 more?