Generation and Verification of Pythagorean Triples Using a Formula Week Four Written Assignment
A mathematical assignment exploring Pythagorean triples and their verification using algebraic formulas.
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Generation and Verification of Pythagorean Triples Using a Formula Week
Four Written Assignment
Following completion of your readings, complete the exercise 4 in the “Projects” section on page
522 of Mathematics in Our World.
1. Make sure you build or generate at least five more Pythagorean Triples using one of the
many formulas available online for doing this.
2. After building your triples, verify each of them in the Pythagorean Theorem equation.
The assignment must include (a) all math work required to answer the problems as well as (b)
introduction and conclusion paragraphs.
Your introduction should include three to five sentences of general information about the
topic at hand.
The body must contain a restatement of the problems and all math work, including the
steps and formulas used to solve the problems.
Your conclusion must comprise a summary of the problems and the reason you selected a
particular method to solve them. It would also be appropriate to include a statement as to
what you learned and how you will apply the knowledge gained in this exercise to real-
world situations.
The assignment must be formatted according the APA (6th edition) style, which includes a title
page and reference page. If you would like to refer to APA samples and tutorials, log into the
Ashford Writing Center (USER NAME: ashford; PASSWORD: student). Click on the “ENG122
Resources” tab and review the resources in the “Week 5” section.
Carefully review the Grading Rubric for the criteria that will be used to evaluate your
assignment.
Answer:
Introduction:
The Greek Mathematician Pythagoras developed some numbers in which square of one number
equals the square of the other two numbers. Such numbers are called Pythagorean Triples.
Pythagorean triples can be generated by using some formulas.
Pythagorean Triples can be formed by using the formula
(a2 – b2, 2ab, a2 + b2) where a, b are natural numbers and b > a
Four Written Assignment
Following completion of your readings, complete the exercise 4 in the “Projects” section on page
522 of Mathematics in Our World.
1. Make sure you build or generate at least five more Pythagorean Triples using one of the
many formulas available online for doing this.
2. After building your triples, verify each of them in the Pythagorean Theorem equation.
The assignment must include (a) all math work required to answer the problems as well as (b)
introduction and conclusion paragraphs.
Your introduction should include three to five sentences of general information about the
topic at hand.
The body must contain a restatement of the problems and all math work, including the
steps and formulas used to solve the problems.
Your conclusion must comprise a summary of the problems and the reason you selected a
particular method to solve them. It would also be appropriate to include a statement as to
what you learned and how you will apply the knowledge gained in this exercise to real-
world situations.
The assignment must be formatted according the APA (6th edition) style, which includes a title
page and reference page. If you would like to refer to APA samples and tutorials, log into the
Ashford Writing Center (USER NAME: ashford; PASSWORD: student). Click on the “ENG122
Resources” tab and review the resources in the “Week 5” section.
Carefully review the Grading Rubric for the criteria that will be used to evaluate your
assignment.
Answer:
Introduction:
The Greek Mathematician Pythagoras developed some numbers in which square of one number
equals the square of the other two numbers. Such numbers are called Pythagorean Triples.
Pythagorean triples can be generated by using some formulas.
Pythagorean Triples can be formed by using the formula
(a2 – b2, 2ab, a2 + b2) where a, b are natural numbers and b > a
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Subject
Mathematics