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.

(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 ...

Solution Summary

One of the many ways of proving the Pythagorean Theorem is presented. Also included is a real-world application problem.

... with questions regarding quadratic reciprocity and pythagorean triangles ... Solution: Let's first introduce the following theorems. Theorem 2. If p is an odd prime ...

... site has a very good description of the proof. ... There are other proofs there in case you're ... Real-world application for the Pythagorean theorem: Suppose a skate ...

... two squares is often a key to such proofs. ... Descent" is a way of proving theorems involving integers. ...Pythagorean Triples work in the Pythagorean Theorem formula ...

... Vector proof: If the vertices of the triangle ABC have respective position vector a ... of the length d of the hypotenuse is, according to the Pythagorean theorem,. ...

... 3. 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...

... The proof is as follows: 1. Let ABC be a ... algebra, and the equation expressing the Pythagorean theorem is then ... axioms, which are now considered to be theorems. ...

... Please see the attached file. Math Problems. 1. Wtite a proof. AB*BE = CB*BD. ... Based on the Pythagorean Theorem, the hypotenuse is. 1602 + 1202 = 200 ft. ...

... in the classroom, when they are working on, let's say, the Pythagorean Theorem. ... to show your "designated reader." Your final draft has been proofed, edited and ...

... By the Pythagorean theorem,. ... The centroid divides the height of the triangle into two segments with a ratio of 2:1 (see proof here: http://www.algebra.com ...