(Solution) Math114N Week 6 Presentation: Pythagorean Theorem

Required Resources

Read/review the following resources for this activity:

  • Knewton text (integrated in Knewton Assignments)
  • Lesson in Canvas

Instructions

A “Pythagorean Triple” is a set of positive integers, a, b and c that fits the rule: a2+ b2= c2.

Here is a list of a few Pythagorean Triples:

(3, 4, 5) (5, 12, 13) (6, 8, 10) (7, 24, 25)
(8, 15, 17) (9, 40, 41) (10, 24, 26) (11, 60, 61)
(12, 35, 37) (13, 84, 85) (14, 48, 50) (15, 112, 113)
(16, 63, 65) (17, 144, 145) (18, 80, 82) (19, 180, 181)
(20, 21, 29) (20, 99, 101) (21, 220, 221) (23, 264, 265)

Pick a Pythagorean Triple and use the Pythagorean Theorem to verify that

a2+ b2= c2. Create a presentation explaining your step-by-step approach to solving the problem. Your presentation should be done in PowerPoint with Voice Over and should be 1 – 2 minutes in length.

Grading

This activity will be graded using the Presentation Rubric.

Course Outcomes (CO): 6

Due Date: By 11:59 p.m. MT on Sunday

Solution:

  • A Pythagorean Triple is a set of positive integers, a, b and c that fits the rule:

a2 + b2 = c2

  • c is the longest side; they hypotenuse

a and b are the other two sides

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